cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 11-12 of 12 results.

A165121 Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives least elements of each cycle of length > 1.

Original entry on oeis.org

16, 320, 2256, 3712, 34960, 183696, 3496800, 31596672, 278474880, 2066242576, 2516902752, 26531651360, 167365651216, 203869268832, 211282856832, 2145190286000, 2184410558000, 16513410921312, 176898519791120
Offset: 1

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Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 9: 17, 385, 3076, 5074, 52854, 308876, 6518633, 65407433, 641888643, 5288888854.

Links

Crossrefs

Cf. A165110, A165122, A165114, A165115, A165119, A165117, A165128.
In other bases: Empty (base 2), A165004 (base 3), A165023 (base 4), A165043 (base 5), A165062 (base 6), A165082 (base 7), A165101 (base 8), A164720 (base 10).

A165008 Consider the base-3 Kaprekar map x->K(x) described in A164993. Sequence gives the smallest number that belongs to a cycle of length n under repeated iteration of this map, or -1 if there is no cycle of length n.

Original entry on oeis.org

0, 32, 320, 26240, 1240024, 11160256, 2297798771761759543384, 15075857741528904364175224, 8135830264, 5931020266096, 659002251784, 350220815692997944
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Known values (to 200 base-3 digits):
a(1) = 0 (base 10) = 0 (base 3)
a(2) = 32 (base 10) = 1012 (base 3)
a(3) = 320 (base 10) = 102212 (base 3)
a(4) = 26240 (base 10) = 1022222212 (base 3)
a(5) = 1240024 (base 10) = 2022222222211 (base 3)
a(6) = 11160256 (base 10) = 202222222222211 (base 3)
a(7) = 2297798771761759543384 (base 10) = 202222222222222222222222222222222222222222211 (base 3)
a(8) = 15075857741528904364175224 (base 10) = 20222222222222222222222222222222222222222222222222211 (base 3)
a(9) = 8135830264 (base 10) = 202222222222222222211 (base 3)
a(10) = 5931020266096 (base 10) = 202222222222222222222222211 (base 3)
a(11) = 659002251784 (base 10) = 2022222222222222222222211 (base 3)
a(12) = 350220815692997944 (base 10) = 2022222222222222222222222222222222211 (base 3)
a(14) = 480412641554176 (base 10) = 2022222222222222222222222222211 (base 3)
a(15) = 1202547548374693105751742636119782969638250884664 (base 10) = 20222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(18) = 3151987341236981536 (base 10) = 202222222222222222222222222222222222211 (base 3)
a(20) = 1221144477063841253498193544 (base 10) = 202222222222222222222222222222222222222222222222222222211 (base 3)
a(21) = 1675095304614322707130576 (base 10) = 202222222222222222222222222222222222222222222222211 (base 3)
a(22) = 5840696178317563736403001300866976 (base 10) = 20222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(23) = 186121700512702523014504 (base 10) = 2022222222222222222222222222222222222222222222211 (base 3)
a(24) = 133616394263854789527971404013309218848694542736 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(26) = 135682719673760139277577056 (base 10) = 2022222222222222222222222222222222222222222222222222211 (base 3)
a(27) = 3103985417701264389637747414334049249616 (base 10) = 20222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(28) = 2262805369504221740045917865049521902973704 (base 10) = 20222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(29) = 98912702642171141533353677464 (base 10) = 2022222222222222222222222222222222222222222222222222222222211 (base 3)
a(30) = 890214323779540273800183097216 (base 10) = 202222222222222222222222222222222222222222222222222222222222211 (base 3)
a(33) = 648966242035284859600333477874104 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(34) = 1624463421305399727955317383718278234275809671395357663852488383536 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(35) = 52566265604858073627627011707802824 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(36) = 14846266029317198836441267112589913205410504744 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(39) = 344887268633473821070860823814894361064 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(40) = 1166199021234168600322186441674903634837253284669268066647739969989548815584492779042071704 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(41) = 27935868759311379506739726729006443246584 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(42) = 95922940564662548536033536191180611455752285286224474692825586559712504 (base 10) = 20222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(44) = 51765728804119417583918760520852820074569256760349620344 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(46) = 131581537125737377964380708081180536976340583383023970772051559066816 (base 10) = 20222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(48) = 850159086479708909634873915981004749796357644523896420586202438122381086561095235921670275856 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(50) = 10822927935372237951765683725078046726744257962016 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(51) = 97406351418350141565891153525702420540698321658184 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(52) = 50977383456624829456538198506977215332656450244796421055229922546880175495464 (base 10) = 20222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(53) = 7889914464886361466837183435581896063796564054313304 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(55) = 37737216298203055418676776419701705834360988178294873234416 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(60) = 1184233834131636401679426372730624832787065250447215736948464031601384 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(65) = 2228344885192592219417444970806966027813181990940133969619325624 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(69) = 14620170791748597551597856453464504108482287042558218974672395451864 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(74) = 863306465081962936824301825720625503101770567576020272235430279037412576 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(78) = 3010163515730239554579124083638497588178030730504983866890271696470727482831948976 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(81) = 4129168059986611185979594079065154441945172469828510105473623726297294215132984 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(83) = 334462612858915506064347120404277509797558970056109318543363521830080831425772104 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(86) = 243823244774149403920909050774718304642420489170903693218112007414128926109387867456 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(89) = 177747145440354915458342698014769644084324536605588792356003653404899987133743755379064 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(90) = 1599724308963194239125084282132926796758920829450299131204032880644099884203693798411616 (base 10) = 202222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(95) = 94462120719967656626097101775667194421817516058210713398466937569153454062343915102407808424 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)
a(98) = 68862886004856421680424787194461384733504969206435610067482397487912868011448714109655292344736 (base 10) = 2022222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222211 (base 3)

Links

Crossrefs

Cf. A164993, A164997, A164998, A165000, A165002, A165004.
In other bases: A153881 (base 2), A165028 (base 4), A165047 (base 5), A165067 (base 6), A165086 (base 7), A165106 (base 8), A165126 (base 9), A151959 (base 10).
Previous Showing 11-12 of 12 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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