Reciprocal expansions (1/n) in radix 7:

n₁₀	n	1/n	period

`1`	`1`	`1`	`0`
`2`	`2`	`0.(3)`	`1`
`3`	`3`	`0.(2)`	`1`
`4`	`4`	`0.(15)`	`2`
`5`	`5`	`0.(1254)`	`4`

`6`	`6`	`0.(1)`	`1`
`7`	`10`	`0.1`	`0`
`8`	`11`	`0.(06)`	`2`
`9`	`12`	`0.(053)`	`3`
`10`	`13`	`0.(0462)`	`4`

`11`	`14`	`0.(0431162355)`	`10`
`12`	`15`	`0.(04)`	`2`
`13`	`16`	`0.(035245631421)`	`12`
`14`	`20`	`0.0(3)`	`1`
`15`	`21`	`0.(0316)`	`4`

`16`	`22`	`0.(03)`	`2`
`17`	`23`	`0.(0261143464055232)`	`16`
`18`	`24`	`0.(025)`	`3`
`19`	`25`	`0.(024)`	`3`
`20`	`26`	`0.(0231)`	`4`

`21`	`30`	`0.0(2)`	`1`
`22`	`31`	`0.(0214064526)`	`10`
`23`	`32`	`0.(0206251134364604155323)`	`22`
`24`	`33`	`0.(02)`	`2`
`25`	`34`	`0.(0165)`	`4`

`26`	`35`	`0.(016122650544)`	`12`
`27`	`36`	`0.(015463241)`	`9`
`28`	`40`	`0.0(15)`	`2`
`29`	`41`	`0.(0145536)`	`7`
`30`	`42`	`0.(0143)`	`4`

`31`	`43`	`0.(014031062154342)`	`15`
`32`	`44`	`0.(0135)`	`4`
`33`	`45`	`0.(0132520564)`	`10`
`34`	`46`	`0.(0130421565362451)`	`16`
`35`	`50`	`0.0(1254)`	`4`

`36`	`51`	`0.(012346)`	`6`
`37`	`52`	`0.(012161463)`	`9`
`38`	`53`	`0.(012)`	`3`
`39`	`54`	`0.(011536432605)`	`12`
`40`	`55`	`0.(0114)`	`4`

`41`	`56`	`0.(0112363262135202250565543034045314644161)`	`40`
`42`	`60`	`0.0(1)`	`1`
`43`	`61`	`0.(010656)`	`6`
`44`	`62`	`0.(0105365613)`	`10`
`45`	`63`	`0.(010423264552)`	`12`

`46`	`64`	`0.(0103124052165635426145)`	`22`
`47`	`65`	`0.(01020411224523503061534)`	`23`
`48`	`66`	`0.(01)`	`2`
`49`	`100`	`0.01`	`0`
`50`	`101`	`0.(0066)`	`4`

`51`	`102`	`0.(0065035621241533)`	`16`
`52`	`103`	`0.(006411323622)`	`12`
`53`	`104`	`0.(00632053554516603461311215)`	`26`
`54`	`105`	`0.(006231454)`	`9`
`55`	`106`	`0.(00614403364220153211)`	`20`

`56`	`110`	`0.0(06)`	`2`
`57`	`111`	`0.(006)`	`3`
`58`	`112`	`0.(0056253)`	`7`
`59`	`113`	`0.(00554602330410321531265224162)`	`29`
`60`	`114`	`0.(0055)`	`4`

`61`	`115`	`0.(005423446353362115565251644062661243220313304551101415022604)`	`60`
`62`	`116`	`0.(005350364425521)`	`15`
`63`	`120`	`0.0(053)`	`3`
`64`	`121`	`0.(00523416)`	`8`
`65`	`122`	`0.(005163661503)`	`12`

`66`	`123`	`0.(0051243632)`	`10`
`67`	`124`	`0.(005055645433064034411530131446241661611021233602632255136535220425)`	`66`
`68`	`125`	`0.(0050210632531224)`	`16`
`69`	`126`	`0.(0046540256121423516331)`	`22`
`70`	`130`	`0.0(0462)`	`4`

`71`	`131`	`0.(0045550124430252160534351402033104066211165422364145061323152646335626)`	`70`
`72`	`132`	`0.(004523)`	`6`
`73`	`133`	`0.(004461426064662205240602)`	`24`
`74`	`134`	`0.(004430565)`	`9`
`75`	`135`	`0.(0044)`	`4`

`76`	`136`	`0.(004341)`	`6`
`77`	`140`	`0.0(0431162355)`	`10`
`78`	`141`	`0.(004253214636)`	`12`
`79`	`142`	`0.(004225141103046506552133544605403502323662441525563620160114533122061263164343)`	`78`
`80`	`143`	`0.(0042)`	`4`

`81`	`144`	`0.(004143312451621060226365535)`	`27`
`82`	`145`	`0.(0041165131052434460266255015356142322064)`	`40`
`83`	`146`	`0.(00406331301525324205212305621640223465551)`	`41`
`84`	`150`	`0.0(04)`	`2`
`85`	`151`	`0.(0040150512136446)`	`16`

`86`	`152`	`0.(003663)`	`6`
`87`	`153`	`0.(0036412)`	`7`
`88`	`154`	`0.(0036166305)`	`10`
`89`	`155`	`0.(0035656202126241115443245014363460641505335266310104645404255512234216523032060251613314)`	`88`
`90`	`156`	`0.(003545132261)`	`12`

`91`	`160`	`0.0(035245631421)`	`12`
`92`	`161`	`0.(0035045361066316213056)`	`22`
`93`	`162`	`0.(003455020516113)`	`15`
`94`	`163`	`0.(00343540445611601364252)`	`23`
`95`	`164`	`0.(003416260545)`	`12`

`96`	`165`	`0.(0034)`	`4`
`97`	`166`	`0.(003351606365325124120435526130502345224455626465663315060301341542546231140536164321442211040201)`	`96`
`98`	`200`	`0.00(3)`	`1`
`99`	`201`	`0.(003315242122554046434510630166)`	`30`
`100`	`202`	`0.(0033)`	`4`

`101`	`203`	`0.(0032525614433512463055516045650262430226601312134466341410522331542036111506210164042364400653545322)`	`100`
`102`	`204`	`0.(0032352644120615)`	`16`
`103`	`205`	`0.(003221136410064423061201621461524035432533511041654)`	`51`
`104`	`206`	`0.(003204145311)`	`12`
`105`	`210`	`0.0(0316)`	`4`

`106`	`211`	`0.(00314361625606635230504106)`	`26`
`107`	`212`	`0.(0031303443412105331616511146226415236006261022012421366353632232545613350501555204402514306604056446542453)`	`106`
`108`	`213`	`0.(003114225336450562)`	`18`
`109`	`214`	`0.(003101230402150651261414455)`	`27`
`110`	`215`	`0.(00305535165443425104)`	`20`

`111`	`216`	`0.(003042621)`	`9`
`112`	`220`	`0.0(03)`	`2`
`113`	`221`	`0.(00301506636516)`	`14`
`114`	`222`	`0.(003)`	`3`
`115`	`223`	`0.(00266101463406550236161314035562212242152332)`	`44`

`116`	`224`	`0.(00264613363125)`	`14`
`117`	`225`	`0.(002634355424)`	`12`
`118`	`226`	`0.(00262301150203510614132445431)`	`29`
`119`	`230`	`0.0(0261143464055232)`	`16`
`120`	`231`	`0.(0026)`	`4`

`121`	`232`	`0.(00255620661221250142241363521536063232615102011334626436641104600544541652442530314513060343405156465533204023)`	`110`
`122`	`233`	`0.(002545223161531042632460655364664121443505135624034206011302)`	`60`
`123`	`234`	`0.(0025343320511523062421635456014103661265)`	`40`
`124`	`235`	`0.(002523532212610336160165546244)`	`30`
`125`	`236`	`0.(00251312256641535441)`	`20`

`126`	`240`	`0.0(025)`	`3`
`127`	`241`	`0.(002462240636252016334564453653124343152265561661412155061132630664204426030414650332102213013542323514401105005254511605534036)`	`126`
`128`	`242`	`0.(0024520633611543)`	`16`
`129`	`243`	`0.(002442)`	`6`
`130`	`244`	`0.(002431664235)`	`12`

`131`	`245`	`0.(00242204054163155010566152255525310323645201332122313046016043264)`	`65`
`132`	`246`	`0.(0024121651)`	`10`
`133`	`250`	`0.0(024)`	`3`
`134`	`251`	`0.(002362656215032015540613414223120664304010451634651126053252443546)`	`66`
`135`	`252`	`0.(002353321415224605543640450131066163)`	`36`

`136`	`253`	`0.(0023440314614112)`	`16`
`137`	`254`	`0.(00233451560630313505236116406536616643321510603635316143055026013005)`	`68`
`138`	`255`	`0.(0023253463044211606514)`	`22`
`139`	`256`	`0.(002316252501522365641154556146620311313633216020543242213401260440361)`	`69`
`140`	`260`	`0.0(0231)`	`4`

`141`	`261`	`0.(00230125053631145465156)`	`23`
`142`	`262`	`0.(0022623412213461063615524201015035366440432544532056030511424656516313)`	`70`
`143`	`263`	`0.(002253502025121522306340045403040532433446160101241061113652)`	`60`
`144`	`264`	`0.(002245)`	`6`
`145`	`265`	`0.(0022362415110525636465435234)`	`28`

`146`	`266`	`0.(002230546365664436120301)`	`24`
`147`	`300`	`0.00(2)`	`1`
`148`	`301`	`0.(002213632335550266)`	`18`
`149`	`302`	`0.(00220540640165453543145605155531014336644612602650121312352106151113565233)`	`74`
`150`	`303`	`0.(0022)`	`4`

`151`	`304`	`0.(002162063300435415660120413465024113026305122605561324551445265243322356351664504603366231251006546253201642553640361544061105342115221401423344310315)`	`150`
`152`	`305`	`0.(002154)`	`6`
`153`	`306`	`0.(002145643031263322440116525351554466234205060411)`	`48`
`154`	`310`	`0.0(0214064526)`	`10`
`155`	`311`	`0.(002133011565050256261424436334415004266023463130545553152206)`	`60`

`156`	`312`	`0.(002125105653)`	`12`
`157`	`313`	`0.(0021202332256551554004240466454643344101151126624262)`	`52`
`158`	`314`	`0.(002112420401356603261051622302535234511664554246265310063405615044364131432155)`	`78`
`159`	`315`	`0.(00210463416152201142550304)`	`26`
`160`	`316`	`0.(0021)`	`4`

`161`	`320`	`0.0(0206251134364604155323)`	`22`
`162`	`321`	`0.(002055141224310363446532616)`	`27`
`163`	`322`	`0.(002050526066253531150112630433644110546604544524015424431563251450321013343602463664616140600413135516554036233022556120062122142651242235103415216345653323064203)`	`162`
`164`	`323`	`0.(0020432414024552230133126006163054511032)`	`40`
`165`	`324`	`0.(00203601121304515525)`	`20`

`166`	`325`	`0.(00203150500612512102441136310653445232624)`	`41`
`167`	`326`	`0.(00202432523620040516535054011133640314102230061063120446015215624122503343455124531)`	`83`
`168`	`330`	`0.0(02)`	`2`
`169`	`331`	`0.(002013101511461330312164250644522550040262033232526606243615316223454301105540664653565155205336354502416022144116626404633434140060423051350443212365561126)`	`156`
`170`	`332`	`0.(0020060241053223)`	`16`

`171`	`333`	`0.(002)`	`3`
`172`	`334`	`0.(001665)`	`6`
`173`	`335`	`0.(0016610235623164111332336321402160126251551352246560325354240614221003652050454636122266500564310435025553343303452645065404151153144201063413124260524456630146162120305444)`	`172`
`174`	`336`	`0.(0016541)`	`7`
`175`	`340`	`0.0(0165)`	`4`

`176`	`341`	`0.(0016433136)`	`10`
`177`	`342`	`0.(00163645332350105155066306043)`	`29`
`178`	`343`	`0.(0016326434413120406221456005531563654236152466503402322535462604452106611351030124305142)`	`88`
`179`	`344`	`0.(0016261541005514525302315021221025106366311132546523343130620336242246134506010444012403166504051256611521413643516454456415603003555341201433235360463304244205321606562226542635)`	`178`
`180`	`345`	`0.(001622414464)`	`12`

`181`	`346`	`0.(001615665051)`	`12`
`182`	`350`	`0.0(016122650544)`	`12`
`183`	`351`	`0.(001605614341120504166315213465442535530103323640245126230646)`	`60`
`184`	`352`	`0.(0016022530366506441363)`	`22`
`185`	`353`	`0.(001565640414440224543153066130311512)`	`36`

`186`	`354`	`0.(001562343606405)`	`15`
`187`	`355`	`0.(00155606545542063566322150242252506201022336152131351264621661332403634104123014)`	`80`
`188`	`356`	`0.(0015525355630430053212433521620222640634165461)`	`46`
`189`	`360`	`0.0(015463241)`	`9`
`190`	`361`	`0.(001543130256)`	`12`

`191`	`362`	`0.(0015366513)`	`10`
`192`	`363`	`0.(00153352)`	`8`
`193`	`364`	`0.(001530403021665136263645)`	`24`
`194`	`365`	`0.(001524303166146045410216246413601156112226313232665142363500520621256450420253065510554440353434)`	`96`
`195`	`366`	`0.(001521220401)`	`12`

`196`	`400`	`0.00(15)`	`2`
`197`	`401`	`0.(00151212643405653360532063161164522111312462163006651545402326101330613460350550214455535420450366)`	`98`
`198`	`402`	`0.(001506121044625356552240313433)`	`30`
`199`	`403`	`0.(001503125642016534415362215211602314400330625461403640213405443342350463210066155425311061043011422)`	`99`
`200`	`404`	`0.(0015)`	`4`