Reciprocal expansions (1/n) in radix 4:

n₁₀	n	1/n	period

`1`	`1`	`1`	`0`
`2`	`2`	`0.2`	`0`
`3`	`3`	`0.(1)`	`1`
`4`	`10`	`0.1`	`0`
`5`	`11`	`0.(03)`	`2`

`6`	`12`	`0.0(2)`	`1`
`7`	`13`	`0.(021)`	`3`
`8`	`20`	`0.02`	`0`
`9`	`21`	`0.(013)`	`3`
`10`	`22`	`0.0(12)`	`2`

`11`	`23`	`0.(01131)`	`5`
`12`	`30`	`0.0(1)`	`1`
`13`	`31`	`0.(010323)`	`6`
`14`	`32`	`0.0(102)`	`3`
`15`	`33`	`0.(01)`	`2`

`16`	`100`	`0.01`	`0`
`17`	`101`	`0.(0033)`	`4`
`18`	`102`	`0.0(032)`	`3`
`19`	`103`	`0.(003113211)`	`9`
`20`	`110`	`0.0(03)`	`2`

`21`	`111`	`0.(003)`	`3`
`22`	`112`	`0.0(02322)`	`5`
`23`	`113`	`0.(00230201121)`	`11`
`24`	`120`	`0.00(2)`	`1`
`25`	`121`	`0.(0022033113)`	`10`

`26`	`122`	`0.0(021312)`	`6`
`27`	`123`	`0.(002113231)`	`9`
`28`	`130`	`0.0(021)`	`3`
`29`	`131`	`0.(00203103313023)`	`14`
`30`	`132`	`0.0(02)`	`2`

`31`	`133`	`0.(00201)`	`5`
`32`	`200`	`0.002`	`0`
`33`	`201`	`0.(00133)`	`5`
`34`	`202`	`0.0(0132)`	`4`
`35`	`203`	`0.(001311)`	`6`

`36`	`210`	`0.0(013)`	`3`
`37`	`211`	`0.(001232230332101103)`	`18`
`38`	`212`	`0.0(012233022)`	`9`
`39`	`213`	`0.(001221)`	`6`
`40`	`220`	`0.00(12)`	`2`

`41`	`221`	`0.(0012033213)`	`10`
`42`	`222`	`0.0(012)`	`3`
`43`	`223`	`0.(0011331)`	`7`
`44`	`230`	`0.0(01131)`	`5`
`45`	`231`	`0.(001123)`	`6`

`46`	`232`	`0.0(01121002302)`	`11`
`47`	`233`	`0.(00111302120200223210301)`	`23`
`48`	`300`	`0.00(1)`	`1`
`49`	`301`	`0.(001103211320022130233)`	`21`
`50`	`302`	`0.0(0110132232)`	`10`

`51`	`303`	`0.(0011)`	`4`
`52`	`310`	`0.0(010323)`	`6`
`53`	`311`	`0.(00103110201303323022313203)`	`26`
`54`	`312`	`0.0(010233122)`	`9`
`55`	`313`	`0.(0010221321)`	`10`

`56`	`320`	`0.00(102)`	`3`
`57`	`321`	`0.(001013313)`	`9`
`58`	`322`	`0.0(01012213232112)`	`14`
`59`	`323`	`0.(00101112301321133131102130031)`	`29`
`60`	`330`	`0.0(01)`	`2`

`61`	`331`	`0.(001003021130110332330312203223)`	`30`
`62`	`332`	`0.0(01002)`	`5`
`63`	`333`	`0.(001)`	`3`
`64`	`1000`	`0.001`	`0`
`65`	`1001`	`0.(000333)`	`6`

`66`	`1002`	`0.0(00332)`	`5`
`67`	`1003`	`0.(000331020212031113320112323032111)`	`33`
`68`	`1010`	`0.0(0033)`	`4`
`69`	`1011`	`0.(00032311303)`	`11`
`70`	`1012`	`0.0(003222)`	`6`

`71`	`1013`	`0.(00032123002231010200130312011122021)`	`35`
`72`	`1020`	`0.00(032)`	`3`
`73`	`1021`	`0.(000320013)`	`9`
`74`	`1022`	`0.0(003131121330202212)`	`18`
`75`	`1023`	`0.(0003122131)`	`10`

`76`	`1030`	`0.0(003113211)`	`9`
`77`	`1031`	`0.(000311030131323)`	`15`
`78`	`1032`	`0.0(003102)`	`6`
`79`	`1033`	`0.(000303312101310222020012132302032211101)`	`39`
`80`	`1100`	`0.00(03)`	`2`

`81`	`1101`	`0.(000302210112013321223131033)`	`27`
`82`	`1102`	`0.0(0030133032)`	`10`
`83`	`1103`	`0.(00030111211302013231133213110310123300211)`	`41`
`84`	`1110`	`0.0(003)`	`3`
`85`	`1111`	`0.(0003)`	`4`

`86`	`1112`	`0.0(0023322)`	`7`
`87`	`1113`	`0.(00023301102121)`	`14`
`88`	`1120`	`0.00(02322)`	`5`
`89`	`1121`	`0.(00023200113)`	`11`
`90`	`1122`	`0.0(002312)`	`6`

`91`	`1123`	`0.(000231)`	`6`
`92`	`1130`	`0.0(00230201121)`	`11`
`93`	`1131`	`0.(00023)`	`5`
`94`	`1132`	`0.0(00223210301001113021202)`	`23`
`95`	`1133`	`0.(000223013122101201)`	`18`

`96`	`1200`	`0.000(2)`	`1`
`97`	`1201`	`0.(000222032200333111301133)`	`24`
`98`	`1202`	`0.0(002213023300110321132)`	`21`
`99`	`1203`	`0.(000221113322311)`	`15`
`100`	`1210`	`0.0(0022033113)`	`10`

`101`	`1211`	`0.(00022020313300302230112303331131302003303110322103)`	`50`
`102`	`1212`	`0.0(0022)`	`4`
`103`	`1213`	`0.(000213301011211321302111020010332020230233032102221)`	`51`
`104`	`1220`	`0.00(021312)`	`6`
`105`	`1221`	`0.(000213)`	`6`

`106`	`1222`	`0.0(00212221003213312111233012)`	`26`
`107`	`1223`	`0.(00021210133012211011120201133230313001302311311032331)`	`53`
`108`	`1230`	`0.0(002113231)`	`9`
`109`	`1231`	`0.(000211210333122123)`	`18`
`110`	`1232`	`0.0(0021103302)`	`10`

`111`	`1233`	`0.(000210321222011301)`	`18`
`112`	`1300`	`0.00(021)`	`3`
`113`	`1301`	`0.(00021003331233)`	`14`
`114`	`1302`	`0.0(002033232)`	`9`
`115`	`1303`	`0.(0002032132003111231011)`	`22`

`116`	`1310`	`0.0(00203103313023)`	`14`
`117`	`1311`	`0.(000203)`	`6`
`118`	`1312`	`0.0(00202231203302332322210320122)`	`29`
`119`	`1313`	`0.(000202122321)`	`12`
`120`	`1320`	`0.00(02)`	`2`

`121`	`1321`	`0.(0002013121322231133031032101332330103002221100121120313)`	`55`
`122`	`1322`	`0.0(002012102320221331321231013112)`	`30`
`123`	`1323`	`0.(0002011031)`	`10`
`124`	`1330`	`0.0(00201)`	`5`
`125`	`1331`	`0.(00020030102123221132031103331330323121011220130223)`	`50`

`126`	`1332`	`0.0(002)`	`3`
`127`	`1333`	`0.(0002001)`	`7`
`128`	`2000`	`0.0002`	`0`
`129`	`2001`	`0.(0001333)`	`7`
`130`	`2002`	`0.0(001332)`	`6`

`131`	`2003`	`0.(00013310101211213210221002130111133300113130310300312231323013111)`	`65`
`132`	`2010`	`0.0(00133)`	`5`
`133`	`2011`	`0.(000132303)`	`9`
`134`	`2012`	`0.0(001322101030122233300231312130222)`	`33`
`135`	`2013`	`0.(000132111303223021)`	`18`

`136`	`2020`	`0.00(0132)`	`4`
`137`	`2021`	`0.(0001313211311232033320201220221013)`	`34`
`138`	`2022`	`0.0(00131223212)`	`11`
`139`	`2023`	`0.(000131131323121110232002300303210113330110100210311122033221321203131)`	`69`
`140`	`2030`	`0.0(001311)`	`6`

`141`	`2031`	`0.(00013100302311203312323)`	`23`
`142`	`2032`	`0.0(00130312011122021000321230022310102)`	`35`
`143`	`2033`	`0.(000130221023030011113232012101)`	`30`
`144`	`2100`	`0.00(013)`	`3`
`145`	`2101`	`0.(00013003332033)`	`14`

`146`	`2102`	`0.0(001300032)`	`9`
`147`	`2103`	`0.(000123313102232021211)`	`21`
`148`	`2110`	`0.0(001232230332101103)`	`18`
`149`	`2111`	`0.(00012313311230033131220303202302223303332102002210330020211303013103111003)`	`74`
`150`	`2112`	`0.0(0012310322)`	`10`

`151`	`2113`	`0.(000123020003121)`	`15`
`152`	`2120`	`0.00(012233022)`	`9`
`153`	`2121`	`0.(000122301113)`	`12`
`154`	`2122`	`0.0(001222120323312)`	`15`
`155`	`2123`	`0.(0001221231)`	`10`

`156`	`2130`	`0.0(001221)`	`6`
`157`	`2131`	`0.(00012201123103332113221023)`	`26`
`158`	`2132`	`0.0(001213230203221110100030331210131022202)`	`39`
`159`	`2133`	`0.(00012130023101103232102201)`	`26`
`160`	`2200`	`0.000(12)`	`2`

`161`	`2201`	`0.(000121130032103320003023201302133)`	`33`
`162`	`2202`	`0.0(001211020230033303112322132)`	`27`
`163`	`2203`	`0.(000121020033231021310032020220311121201113330312332002112301132032322321110303311)`	`81`
`164`	`2210`	`0.0(0012033213)`	`10`
`165`	`2211`	`0.(0001203103)`	`10`

`166`	`2212`	`0.0(00120223023210033122333032221220313201022)`	`41`
`167`	`2213`	`0.(00012020123211330022232300102121102301310200030100313023320111131200210302211203221)`	`83`
`168`	`2220`	`0.00(012)`	`3`
`169`	`2221`	`0.(000120033021131322230223323131022032120333213300312202011103110010202311301213)`	`78`
`170`	`2222`	`0.0(0012)`	`4`

`171`	`2223`	`0.(000113331)`	`9`
`172`	`2230`	`0.0(0011331)`	`7`
`173`	`2231`	`0.(00011322310202002032003230300311101120302103332201102313133130133010303302223221303123)`	`86`
`174`	`2232`	`0.0(00113202210302)`	`14`
`175`	`2233`	`0.(000113121331303210031022212301)`	`30`

`176`	`2300`	`0.00(01131)`	`5`
`177`	`2301`	`0.(00011302100220133310123132233)`	`29`
`178`	`2302`	`0.0(00113000232)`	`11`
`179`	`2303`	`0.(00011232013313122310030313301230230111130331133310203300101022113212100130212213111012011)`	`89`
`180`	`2310`	`0.0(001123)`	`6`

`181`	`2311`	`0.(000112220103303101110313022100100332032312130333221113230030232223020311233233001301021203)`	`90`
`182`	`2312`	`0.0(001122)`	`6`
`183`	`2313`	`0.(000112120132301222110102023321)`	`30`
`184`	`2320`	`0.00(01121002302)`	`11`
`185`	`2321`	`0.(000112020333221313)`	`18`

`186`	`2322`	`0.0(00112)`	`5`
`187`	`2323`	`0.(00011132131123232031)`	`20`
`188`	`2330`	`0.0(00111302120200223210301)`	`23`
`189`	`2331`	`0.(000111223)`	`9`
`190`	`2332`	`0.0(001112032310203002)`	`18`

`191`	`2333`	`0.(00011113013231033011001223032122020231210201200200022232033122132022003112130310101123021003001)`	`95`
`192`	`3000`	`0.000(1)`	`1`
`193`	`3001`	`0.(000111032100211020331000333222301233122313002333)`	`48`
`194`	`3002`	`0.0(001110131001332223202332)`	`24`
`195`	`3003`	`0.(000111)`	`6`

`196`	`3010`	`0.0(001103211320022130233)`	`21`
`197`	`3011`	`0.(00011030222320201302112233123213103310103133200303332230311101313203122110021012023002323020013303)`	`98`
`198`	`3012`	`0.0(001102233311222)`	`15`
`199`	`3013`	`0.(000110211103213203230231001212322202011302133201020002210222130330131211220030313110100232103330021)`	`99`
`200`	`3020`	`0.00(0110132232)`	`10`