The integer powers in radix 3:

n₁₀	n	T(n)	n²	n³	n⁴	n⁵	n⁶	n⁷	n⁸	n⁹	n¹⁰

1	1	1	1	1	1	1	1	1	1	1	1
2	2	10	11	22	121	1012	2101	11202	100111	200222	1101221
3	10	20	100	1000	10000	100000	1000000	10000000	100000000	1000000000	10000000000
4	11	101	121	2101	100111	1101221	12121201	211110211	10022220021	111022121001	1222021101011
5	12	120	221	11122	212011	11021202	210102201	10222011112	201211211121	10200020011222	200101010220211

6	20	210	1100	22000	1210000	101200000	2101000000	112020000000	10011100000000	200222000000000	11012210000000000
7	21	1001	1211	110201	10021221	212001111	12222101101	1112211200121	101211212211011	2210221011202001	201200112020012021
8	22	1100	2101	200222	12121201	1122221122	111022121001	10221112202022	1011120101000101	100100112222002222	2202211102201212201
9	100	1200	10000	1000000	100000000	10000000000	1000000000000	100000000000000	10000000000000000	1000000000000000000	100000000000000000000
10	101	2001	10201	1101001	111201101	12002011201	1212210202001	200211001102101	20222011112012201	2120200200021010001	221210220202122010101

11	102	2110	11111	1211022	202002021	22011220212	10100000010101	1100200001101002	112221100120002211	20002022220011010222	2110221121211200121121
12	110	2220	12100	2101000	1001110000	110122100000	12121201000000	2111102110000000	1002222002100000000	111022121001000000000	12220211010110000000000
13	111	10101	20021	10000101	1110011211	200212022121	100002020010201	11101001221210011	2002211221102011221	1000101001020101101001	111011211121001222211111
14	112	10220	21021	10202122	1221200211	1000022202102	112011112120201	21100100120010212	10210211221211222221	1222022220101220221222	1000122121122122221110111
15	120	11110	22100	11122000	2120110000	1102120200000	210102201000000	102220111120000000	20121121112100000000	10200020011222000000000	2001010102202110000000000

16	121	12001	100111	12121201	10022220021	1222021101011	1011120101000101	200201002221012221	102002022201221111211	20120101011211010012001	10220010000212002212222121
17	122	12200	101201	20201222	11020120101	2200010200022	1200102022112001	1001121010100211122	200000011010012020201	102100002121000022012222	21010201122002012011202101
18	200	20100	110000	22000000	12100000000	10120000000000	2101000000000000	1120200000000000000	1001110000000000000000	200222000000000000000000	110122100000000000000000000
19	201	21001	111101	100102001	20121202201	11122210120101	10021112011211001	2022021222101111201	1121211121120101122101	1010211220122211111020001	210201010100112211022020201
20	202	21210	112211	101222022	22010110221	20000120120112	11110102112111101	10022012112201220102	2110002002220202002011	1210221120011022212120222	1100020221020012120110211021

21	210	22120	121100	110201000	100212210000	21200111100000	12222101101000000	11122112001210000000	10121121221101100000000	2210221011202001000000000	2012001120200120210000000000
22	211	100101	122221	112121101	102220100011	100200211110021	21220100021222201	20102211120111202111	12020122101122012200121	11021102011200000122011001	10111001002210200111222021211
23	212	101020	201121	121200122	112012212111	110010000000002	101022120000001201	22210021210001110012	21111010121221020101021	20101012002102111102201222	12102200100001210110000000011
24	220	102010	210100	200222000	121212010000	112222112200000	111022121001000000	102211122020220000000	101112010100010100000000	100100112222002222000000000	22022111022012122010000000000
25	221	110001	212011	210102201	201211211121	200101010220211	122000101121222101	120202100211201102021	112120212010000222102111	111111200101210220110122001	110111200001000021122200202221

26	222	111000	221001	220002222	212012212001	211100122011222	210112021112210001	202201202021020020222	201222000111222000201001	201020001111110001200022222	200111211102221121121122122001
27	1000	112000	1000000	1000000000	1000000000000	1000000000000000	1000000000000000000	1000000000000000000000	1000000000000000000000000	1000000000000000000000000000	1000000000000000000000000000000
28	1001	120001	1002001	1010010001	1011020011001	1012101101012001	1020120202120020001	1021211100022210021001	1100010011200010001022001	1101110021211210011100100001	1102211202010121221111200101001
29	1002	121010	1011011	1020110022	1022221012121	1102121002000012	1112110021011012101	1122112011200111202202	1202211020000212210021111	1220100212110221112212000222	2001011121012220102221202000221
30	1010	122020	1020100	1101001000	1112011010000	1200201120100000	1212210202001000000	2002110011021010000000	2022201111201220100000000	2120200200021010001000000000	2212102202021220101010000000000

31	1011	200101	1022121	1111212101	1201220211111	1222212111210221	2021211222212011201	2122000101211121101211	10000112110102221211102021	10110121121021201122201221001	10222111001200212120100212202011
32	1012	201120	1101221	1122221122	1222021101011	2100010202000202	2202211102201212201	10021200120220120002112	10220010000212002212222121	11121120121000101102102111222	12110122110222110100112122112211
33	1020	202210	1111100	1211022000	2020020210000	2201122021200000	10100000010101000000	11002000011010020000000	11222110012000221100000000	20002022220011010222000000000	21102211212112001211210000000000
34	1021	211001	1120211	1222220201	2111220002221	10011111100200111	10222122211012021101	12000120102221122021121	20022201110001021202120011	21221222111011121202220002001	101000201100120211010022022120021
35	1022	212100	1200101	2011210222	2211020110201	10122211101110122	11202010000120101001	20011001220201221000022	21222021111001211102101101	101100001200221101001202102222	111101202012112220001021111111201

36	1100	220200	1210000	2101000000	10011100000000	11012210000000000	12121201000000000000	21111021100000000000000	100222200210000000000000000	111022121001000000000000000000	122202110101100000000000000000000
37	1101	222001	1212201	2120111001	10112012212101	11211111001000201	20121210212101222001	100002000222002000200101	110102210022201202221011201	122001011012222002200111110001	212100120210011202200100102111101
38	1102	1000110	1222111	2210021022	10220221021021	12112002120012212	21202211121102020101	101221022211002210222002	120101122102002221220200211	210122222111122011110202110222	1010111022022012011021221211020121
39	1110	1001220	2002100	10000101000	11100112110000	20021202212100000	100002020010201000000	111010012212100110000000	200221122110201122100000000	1000101001020101101001000000000	1110112111210012222111110000000000
40	1111	1010101	2012021	10020210101	11211001122211	21010200110101121	101120110100100200201	120122220021212100201011	212012111222122121101100221	1021101011201111002021100201001	1212221001222212101100220101012111

41	1112	1011220	2022021	10111112122	12022120012211	22002000002211102	110021001011022000201	200121200202112012001212	1001021100111011112200210221	1120221011101222220022120021222	2102012012200200211221000020002111
42	1120	1020110	2102100	10202122000	12212002110000	100002220210200000	112011112120201000000	211001001200102120000000	1021021122121122222100000000	1222022220101220221222000000000	10001221211221222211101110000000000
43	1121	1022001	2112111	11001001201	20102200201021	101020121210200011	121022112202111220101	221222121111200010210221	1112101101021202220001220211	2102220112101101021100001112001	10212222001220112100200102102100121
44	1122	1100200	2122201	11022211222	21001102102101	102111022121112022	200201201000221022001	1010112010000112020002122	1211201222220212011221021201	10000001120212111210001012112222	11220002120212022110021222001101101
45	1200	1102100	2210000	11122000000	21201100000000	110212020000000000	210102201000000000000	1022201111200000000000000	2012112111210000000000000000	10200020011222000000000000000000	20010101022021100000000000000000000

46	1201	1111001	2220101	11221112001	22102110220201	112100120000002101	220110021120011001001	1112122220212210212202201	2121222112101120021111021101	11110221012112000000202121120001	21122000221101212001022010012121201
47	1202	1112210	10000211	12021102022	100011220122221	120222112221012112	1000211012222212121101	1210102200102210002111102	10010022100002111201100100011	12102202111211100212200020220222	100110110201001221012012210001110021
48	1210	1121120	10011100	12121201000	100222200210000	122202110101100000	1011120101000101000000	2002010022210122210000000	10200202220122111121100000000	20120101011211010012001000000000	102200100002120022122221210000000000
49	1211	1200101	10021221	12222101101	101211212211011	201200112020012021	1022201121211020112201	2101211121112100212200111	11100200001000001220222112121	21220112201211010111100011111001	112100112201222011100012122010122211
50	1212	1202020	10102121	20100110122	102202112101111	210210000122102002	1111022221012020111201	2202200112122201001101012	12010022100010210021112212021	100111010102221000101222112001222	122120022101002022202100010001122011

51	1220	1211010	10120100	20201222000	110201201010000	220001020002200000	1200102022112001000000	10011210101002111220000000	20000001101001202020100000000	102100002121000022012222000000000	210102011220020120112021010000000000
52	1221	1220001	10201011	21010212201	111202110122121	222111102100212211	1220000211220000212101	10122021122002021200000021	21000021200220101202200111111	111111112211101222201211121222001	222000002120011011111012120200010221
53	1222	1222000	10212001	21120012222	112211212201001	1002010220112100222	2010012200011012120001	11011022010122020220111222	22011102222010212120010102001	121000201111022121020200200122222	1011110102021010212220010200122021001
54	2000	2001000	11000000	22000000000	121000000000000	1012000000000000000	2101000000000000000000	11202000000000000000000000	100111000000000000000000000000	200222000000000000000000000000000	1101221000000000000000000000000000000
55	2001	2010001	11011001	22110020001	122012220022001	1022002000111101001	2122110010000020110001	12101112200010111010112001	101222110212221002202011121001	211100221020202010121002100200001	1200120020102202000022202210200202001

56	2002	2012010	11022011	22220220022	200111122101121	1102101022001222012	2221121100202002022101	20010002221012122210100202	110200110002021201220022012111	222022021001202001021102000100222	2000120010122121120122100211202122221
57	2010	2021020	11110100	100102001000	201212022010000	1112221012010100000	10021112011211001000000	20220212221011112010000000	112121112112010112210100000000	1010211220122211111020001000000000	2102010101001122110220202010000000000
58	2011	2100101	11121121	100220122101	210021221022111	1200202001101012221	10122021001221221201201	21211002012012202021022211	121210102201012100112201221021	1100002001011020111111122211021001	2212111101111002222000100021211010011
59	2012	2102120	11202221	101102201122	211210121220011	1211211020220202202	11000212122010010022201	22210220122101211021000112	201020212212000122122100010121	1120002001010022102112212221211222	10101221110110020102020112100111011211
60	2020	2111210	11221100	101222022000	220101102210000	2000012012011200000	11110102112111101000000	100220121122012201020000000	211000200222020200201100000000	1210221120011022212120222000000000	11000202210200121201102110210000000000

61	2021	2121001	12002211	102112100201	222001102220221	2011212020221022111	11220222112200012011101	102010102222011002122212121	221010210001002021000101022011	2002210112112110002211212021102001	11202022122211122100102122120201221021
62	2022	2200100	12021101	110002220222	1000210201022201	2100211212100222122	12102121111122221011001	110110122220101011202021022	1001122002002222100220112202101	2102202012211211112202100212202222	12120222102102102202212202200121010201
63	2100	2202200	12110000	110201000000	1002122100000000	2120011110000000000	12222101101000000000000	111221120012100000000000000	1012112122110110000000000000000	2210221011202001000000000000000000	20120011202001202100000000000000000000
64	2101	2212001	12121201	111022121001	1011120101000101	2202211102201212201	20120101011211010012001	120120110010102102112221101	1100220121202010002101102010201	10020111100200200022122200101210001	21200101122222021102111220121112212101
65	2102	2221110	12210111	111221201022	1020120220110021	2222212021212111212	21012200001221121100101	122100122111200122100120002	1112210020010221212210000021211	10201121002210112022020120200210222	22222011202201211102211211210021212121

66	2110	10000220	12222100	112121101000	1022201000110000	10020021111002100000	21220100021222201000000	201022111201112021110000000	1202012210112201220012100000000	11021102011200000122011001000000000	101110010022102001112220212110000000000
67	2111	10010101	20011021	120021120101	1101220210010211	10111002111110110121	22122111012101221020201	210110101202102010122122011	1222020202200122122001202112221	11220010210100021202100101000001001	110010220101222001020111020211002120111
68	2112	10012220	20100021	120222022122	1111020021201211	10202022211110220102	100110012020121111110201	212210201012122112220222212	2012221200101020012120221121221	12120222200021202122002011112121222	112002021012001112222000110102211201111
69	2120	10022110	20112100	121200122000	1120122121110000	11001000000000200000	101022120000001201000000	222100212100011100120000000	2111101012122102010102100000000	20101012002102111102201222000000000	121022001000012101100000000110000000000
70	2121	10102001	20201111	122102111201	1200011211112021	11100010112101222011	102020200011100102210101	1002011022002021110120101221	2210121010221220100120221022211	21020222212021011010212022122212001	200211010122022112202000110110021201121

71	2122	10111200	20220201	200011221222	1202211001021101	11122201222100101022	110020122112021200002001	1012012111002120011112100122	10010200102102201212220202022201	22020200110001212021220002102212222	210200120111201220020202100102021000101
72	2200	10121100	21010000	200222000000	1212120100000000	11222211220000000000	111022121001000000000000	1022111220202200000000000000	10111201010001010000000000000000	100100112222002222000000000000000000	220221110220121220100000000000000000000
73	2201	10201001	21022101	201202122001	1222102210001201	12100110211221121101	112110121202001020021001	1110010010021012022221000201	10220202102211110102010122220101	101120221020222201120002220101220001	1001122002021220020212211211222102222201
74	2202	10210210	21111211	202120212022	2002102110211221	12201122110012211112	120200211211110222201101	1121000122120121121020002102	11100220210011210111110200121011	102222011221001010220220202222020222	1012210202111122010202021220110222002021
75	2210	10220120	21201100	210102201000	2012112111210000	20010101022021100000	122000101121222101000000	1202021002112011020210000000	11212021201000022210211100000000	111111200101210220110122001000000000	1101112000010000211222002022210000000000

76	2211	11000101	21220221	211022011101	2022202222022011	20112201001000221021	200102101120220122002201	1220212001210210100010121111	12101221221002100001201011101121	120012211222121120111210221100211001	1120211110200220122122212202101122000211
77	2212	11010020	22010121	212012020122	2110010221220111	20222122021212211002	201220222022110220221201	2002211020001011212011022012	20000001101020100212001021100021	122010010221012011002201121221101222	1210210222012211200200202222022110021011
78	2220	11020010	22100100	220002222000	2120122120010000	21110012201122200000	210112021112210001000000	2022012020210200202220000000	20122200011122200020100100000000	201020001111110001200022222000000000	2001112111022211211211221220010000000000
79	2221	11100001	22120011	221001022201	2201021212110121	21221110000122211211	212020110011221012202101	2111222212122102202211121021	21100221122012000102222010120111	210120010000021200022000110110022001	2100002012210211110112110100102222111221
80	2222	11110000	22210001	222000022222	2212001222120001	22110100212200112222	221001122021011222100001	2202020212011021202000202222	22011000022121200221100022010001	220010212221112111010002120000222222	2122112111221122220212011120112221220001

81	10000	11120000	100000000	1000000000000	10000000000000000	100000000000000000000	1000000000000000000000000	10000000000000000000000000000	100000000000000000000000000000000	1000000000000000000000000000000000000	10000000000000000000000000000000000000000
82	10001	11200001	100020001	1001000100001	10011002000110001	100120101010100120001	1002001200202012000200001	10021021010221022021000210001	100221001200221212002100100220001	1010011010011120112010010110001000001	10101120111121220010212111110120001010001
83	10002	11210010	100110011	1002001100022	10022022010120121	101011111222222221012	1011020220000222210102101	10120002011220001100211221202	101221100201000221012021120010111	1020121221211111212110020020111200222	10211101010102012122002121012000010021221
84	10010	11220020	100200100	1010010001000	10110200110010000	101210110101200100000	1020120202120020001000000	10212111000222100210010000000	110001001120001000102200100000000	1101110021211210011100100001000000000	11022112020101212211112001010010000000000
85	10011	12000101	100220121	1011012102101	10122020001210111	102110020002122121221	1100001111012100111021201	11012111200112211212211020211	111020100002101202001000001110021	1112122221121112211002011011120121001	11212011111122002122111210010102002111011

86	10012	12010120	101010221	1012022111122	10210221002102011	110010211220200111202	1102200020222121221202201	11120012011020211000001221112	112112101102112201002020012021121	1201021211012202211210002201211011222	12110102220202101101120012201010122210211
87	10020	12020210	101101100	1020110022000	10222210121210000	110212100200001200000	1112110021011012101000000	11221120112001112022020000000	120221102000021221002111100000000	1220100212110221112212000222000000000	20010111210122201022212020002210000000000
88	10021	12101001	101121211	1021121210201	11011211202201221	111121210012120221111	1122101201010012222001101	12100200220022111102220110121	122110121121020200210210202001011	2002221010002221211022001212022202001	20212112212010122011200022002000111022021
89	10022	12111100	101212101	1022211000222	11101001122011201	112102011101121111122	1202111210110222101221001	12210121110210210001000112022	201010020022012210100100202010101	2100000122210002002100212010100002222	21200202011121110212210111020000000202201
90	10100	12121200	102010000	1101001000000	11120110100000000	120020112010000000000	1212210202001000000000000	20021100110210100000000000000	202220111120122010000000000000000	2120200200021010001000000000000000000	22121022020212201010100000000000000000000

91	10101	12202001	102100201	1102021201001	11210000222011101	121002220021011201201	2000021202210011221102001	20202222012001101122122012101	211211200021000200220102222002201	2211222102112200100201101022222010001	100121110001220110212202022211020000020101
92	10102	12212110	102121111	1110120011022	11222210122122021	122000022210002210212	2010222002220220120110101	21022111221221212201200011002	220221000120110011212000211212211	10010221020221122111112110212222010222	101201102001200101122010022220200002111121
93	10110	12222220	102212100	1111212101000	12012202111110000	122221211121022100000	2021211222212011201000000	21220001012111211012110000000	1000011211010222121110202100000000	10110121121021201122201221001000000000	102221110012002121201002122020110000000000
94	10111	20010101	110010021	1120012100101	12102220121121211	200221110200212112121	2102221200012200221210201	22111121101101211222211120011	1002121101001012210001102112201221	10211001222222020010021222012022101001	111021211221220022022110202012111010221111
95	10112	20020220	110101021	1121120002122	12200021010020211	201222021001102222102	2121021101211002010220201	100011021001001200112202220212	1012012222202201221020222121102221	11012101002011222010212120121211221222	112202220110200110222121221222021210100111

96	10120	20101110	110122100	1122221122000	12220211010110000	210001020200020200000	2202211102201212201000000	100212001202201200021120000000	1022001000021200221222212100000000	11121120121000101102102111222000000000	121101221102221101001121221122110000000000
97	10121	20112001	110220111	1201100221201	20011120202100021	211011110121002021011	2221122001020210010200101	101121002020111100221012222221	1102001210001100000200121112201211	12001202101121210102110212102221012001	200012022021011022222020020012212111002121
98	10122	20122200	111011201	1202211001222	20102120010010101	212022221212100020022	10010200111212201111212001	102101101012101002211021121122	1112022200000111200020212122100201	12112222110101211122020221211000012222	202011101001000100011122020200212210122101
99	10200	20210100	111110000	1211022000000	20200202100000000	220112202120000000000	10100000010101000000000000	110020000110100200000000000000	1122211001200022110000000000000000	20002022220011010222000000000000000000	211022112121120012112100000000000000000000
100	10201	20221001	111201101	1212210202001	20222011112012201	221210220202122010101	10112121011201102102111001	111010001220110221022112021201	1210120101001122220202120220112101	20122212221021011100201020220212020001	220200020122120112010222022122002000100201

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