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.

Showing 1-10 of 13 results. Next

A165040 Length of cycle mentioned in A165039.

Original entry on oeis.org

2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 6, 2, 6, 6, 4, 4, 6, 6, 2, 6, 5, 5, 5, 5, 5, 3, 3, 3, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 2, 2, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 2, 6, 6, 6, 6, 2, 6, 5, 5, 5
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165032, A165039, A165038, A165042, A165044, A165050.
In other bases: Empty (base 2), A165001 (base 3), A165020 (base 4), A165059 (base 6), A165079 (base 7), A165098 (base 8), A165118 (base 9), A164715 (base 10).

A099010 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

53955, 59994, 61974, 62964, 63954, 71973, 74943, 75933, 82962, 83952, 420876, 642654, 750843, 840852, 851742, 860832, 862632, 7509843, 7519743, 7619733, 8429652, 8439552, 8649432, 8719722, 9529641, 43208766, 64308654, 64326654
Offset: 1

Views

Author

Klaus Brockhaus, Sep 22 2004

Keywords

Comments

86526432, 64308654, 83208762 form a cycle of length three and 86308632, 86326632, 64326654, 43208766, 85317642, 75308643, 84308652 form a cycle of length seven.

Examples

			53955 and 59994 form a cycle of length 2 and hence are terms: 53955 -> 95553 - 35559 = 59994 -> 99954 - 45999 = 53955.

Links

Crossrefs

Cf. A151949, A090429, A069746, A099009.
Cf. A164715 (corresponding cycle lengths) [From Joseph Myers, Aug 24 2009]
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A165117 (base 9). [From Joseph Myers, Sep 05 2009]

Extensions

Definition revised ny N. J. A. Sloane, Aug 18 2009
Extended by Joseph Myers, Aug 22 2009

A165037 Consider the base-5 Kaprekar map n->K(n) defined in A165032. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 8, 48, 72, 392, 1992, 2232, 2616, 2856, 7488, 9992, 10712, 11432, 13736, 53712, 57432, 66216, 73056, 249992, 272312, 284832, 287432, 347336, 349936, 1831056, 6249992, 8687336, 8785936, 9236656, 45781056, 45874056, 46264656, 48217776
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 5: 0, 13, 143, 242, 3032, 30432, 32412, 40431, 42411, 214423.

Links

Crossrefs

Union of A165036 and A165039. Cf. A165032, A165038, A165041, A165043, A165049, A165046.
In other bases: A163205 (base 2), A164998 (base 3), A165017 (base 4), A165056 (base 6), A165076 (base 7), A165095 (base 8), A165115 (base 9), A164716 (base 10).

A165036 List of fixed points of the base-5 Kaprekar map A165032.

Original entry on oeis.org

0, 8, 392, 1831056, 48217776, 1217651376, 30502319376, 144640604656, 762863159376, 3774960835776, 19073104859376, 95168749491376, 476835250859376, 2383192380269376, 11320075681132656, 11920919418359376
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 5: 0, 13, 3032, 432043211, 44320432101, 4443204321001, 444432043210001, 4332210443322111, 44444320432100001, 443322104433221101.

Links

Crossrefs

Cf. A165032, A165037, A165039, A008617.
In other bases: A163205 (base 2), A164997 (base 3), A165016 (base 4), A165055 (base 6), A165075 (base 7), A165094 (base 8), A165114 (base 9), A099009 (base 10).

A165000 Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

32, 52, 320, 484, 580, 1696, 1768, 15304, 16024, 16240, 18208, 18424, 26240, 39364, 48100, 48964, 137776, 144328, 147136, 164008, 166168, 166816, 172720, 173368, 433012, 441652, 1240024, 1299064, 1318720, 1325200, 1327144, 1476208, 1495864
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 3: 1012, 1221, 102212, 122221, 210111, 2022211, 2102111, 202222211, 210222111, 211021111.

Links

Crossrefs

Cf. A164993, A165001, A164997, A164998, A165002, A165004, A165010.
In other bases: Empty (base 2), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A165117 (base 9), A099010 (base 10).

A165019 Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

126, 138, 570, 765, 41958, 42966, 57333, 2788950, 3489705, 3833685, 178846038, 240385701, 245890389, 11451491670, 15657335445, 15745414485, 732979762518, 1006431627861, 1007840908629, 46912048616790, 64481417734485
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 4: 1332, 2022, 20322, 23331, 22033212, 22133112, 31333311, 22220321112, 31103332221, 32213331111.

Links

Crossrefs

Cf. A165012, A165020, A165016, A165017, A165021, A165023, A165030.
In other bases: Empty (base 2), A165000 (base 3), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A165117 (base 9), A099010 (base 10).

A165058 Consider the base-6 Kaprekar map n->K(n) defined in A165051. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

430, 675, 705, 860, 890, 920, 4305, 5180, 16840, 35510, 42745, 218960, 259105, 895275, 996315, 1174130, 1221860, 1276250, 1282910, 1285070, 1338380, 1548445, 1563925, 1601755, 7892360, 9392845, 44002820, 46288670, 55760125, 56412805
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 6: 1554, 3043, 3133, 3552, 4042, 4132, 31533, 35552, 205544, 432222.

Links

Crossrefs

Cf. A165051, A165059, A165055, A165056, A165060, A165062, A165069.
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165078 (base 7), A165097 (base 8), A165117 (base 9), A099010 (base 10).

A165078 Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

144, 192, 1068, 1752, 1836, 9936, 10608, 13008, 13680, 15072, 55500, 72012, 77388, 89112, 91212, 91800, 640992, 643344, 660144, 674592, 760992, 780144, 3562968, 4605036, 4642668, 4772952, 5445336, 5464152, 31412208, 31680336, 32353344
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 7: 264, 363, 3054, 5052, 5232, 40653, 42633, 52632, 54612, 61641.

Links

Crossrefs

Cf. A165071, A165079, A165075, A165076, A165080, A165082, A165088.
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165097 (base 8), A165117 (base 9), A099010 (base 10).

A165097 Consider the base-8 Kaprekar map n->K(n) defined in A165090. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

1022, 1589, 2044, 2212, 2723, 3122, 3178, 3290, 17892, 20475, 21483, 21987, 25578, 26586, 102837, 177443, 217938, 1445787, 1449819, 1646442, 1707930, 1715994, 1740690, 1752786, 1777482, 1941345, 1978137, 1982169, 6589877, 11381027
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 8: 1776, 3065, 3774, 4244, 5243, 6062, 6152, 6332, 42744, 47773.

Links

Crossrefs

Cf. A165090, A165098, A165094, A165095, A165099, A165101, A165108.
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165117 (base 9), A099010 (base 10).

A165117 Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

16, 48, 320, 400, 2256, 3712, 3856, 5168, 5312, 5456, 34960, 40080, 42240, 49520, 55360, 183696, 250592, 308992, 322096, 323392, 388992, 419888, 440192, 446096, 448688, 454592, 505792, 511696, 512992, 3496800, 3916640, 31596672, 35193008
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 9: 17, 53, 385, 484, 3076, 5074, 5254, 7072, 7252, 7432.

Links

Crossrefs

Cf. A165110, A165118, A165114, A165115, A165119, A165121, A165128.
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A099010 (base 10).
Showing 1-10 of 13 results. Next

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

Content is available under The OEIS End-User License Agreement.