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 16 results. Next

A164717 Length of cycle mentioned in A164716.

Original entry on oeis.org

1, 1, 1, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 1, 1, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 1, 3, 7, 7, 3, 7, 7, 7, 7, 3, 1, 1, 14, 14, 14, 14, 14, 1, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 1, 3, 3, 7, 3, 7, 3, 3, 7, 7, 7, 7, 3, 3, 3, 3, 3, 1, 3, 3, 1, 8, 8, 5, 1, 5, 8, 8, 8, 5, 5, 8, 8, 5, 8, 7, 1, 1, 3
Offset: 1

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Links

Crossrefs

Cf. A151949, A164716, A164715, A164719, A164721, A151966.
In other bases: A000012 (base 2), A164999 (base 3), A165018 (base 4), A165038 (base 5), A165057 (base 6), A165077 (base 7), A165096 (base 8), A165116 (base 9). [From Joseph Myers, Sep 05 2009]

A164998 Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 32, 52, 184, 320, 484, 580, 1696, 1768, 2008, 5332, 15304, 16024, 16240, 18208, 18424, 19144, 26240, 39364, 48100, 48964, 55360, 137776, 144328, 146488, 147136, 164008, 166168, 166816, 172720, 173368, 175528, 433012, 441652, 520372, 1240024
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 3: 0, 1012, 1221, 20211, 102212, 122221, 210111, 2022211, 2102111, 2202101.

Links

Crossrefs

Union of A164997 and A165000. Cf. A164993, A164999, A165002, A165004, A165010, A165007.
In other bases: A163205 (base 2), A165017 (base 4), A165037 (base 5), A165056 (base 6), A165076 (base 7), A165095 (base 8), A165115 (base 9), A164716 (base 10).

A165017 Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 30, 126, 138, 201, 570, 765, 2550, 3369, 3873, 14565, 41958, 42966, 54441, 57333, 62625, 64641, 171990, 234405, 254865, 873129, 954261, 1004193, 1036929, 1044993, 2788950, 3489705, 3755685, 3833685, 4083345, 4165185, 11140950, 13978281
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 4: 0, 132, 1332, 2022, 3021, 20322, 23331, 213312, 310221, 330201.

Links

Crossrefs

Union of A165016 and A165019. Cf. A165012, A165018, A165021, A165023, A165030, A165026.
In other bases: A163205 (base 2), A164998 (base 3), A165037 (base 5), A165056 (base 6), A165076 (base 7), A165095 (base 8), A165115 (base 9), A164716 (base 10).

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).

A165056 Consider the base-6 Kaprekar map n->K(n) defined in A165051. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 105, 430, 675, 705, 860, 890, 920, 4305, 5180, 5600, 16840, 27195, 33860, 35510, 42745, 42925, 218960, 259105, 895275, 996315, 1174130, 1221860, 1275170, 1276250, 1282910, 1285070, 1338380, 1548445, 1563925, 1601755, 1657225
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 6: 0, 253, 1554, 3043, 3133, 3552, 4042, 4132, 31533, 35552.

Links

Crossrefs

Union of A165055 and A165058. Cf. A165051, A165057, A165060, A165062, A165069, A165065.
In other bases: A163205 (base 2), A164998 (base 3), A165017 (base 4), A165037 (base 5), A165076 (base 7), A165095 (base 8), A165115 (base 9), A164716 (base 10).

A165076 Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 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
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 7: 0, 264, 363, 3054, 5052, 5232, 40653, 42633, 52632, 54612.

Links

Crossrefs

Union of A165075 and A165078. Cf. A165071, A165077, A165080, A165082, A165088, A165085.
In other bases: A163205 (base 2), A164998 (base 3), A165017 (base 4), A165037 (base 5), A165056 (base 6), A165095 (base 8), A165115 (base 9), A164716 (base 10).

A165095 Consider the base-8 Kaprekar map n->K(n) defined in A165090. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 21, 252, 1022, 1589, 2044, 2212, 2723, 3122, 3178, 3290, 17892, 20475, 21483, 21987, 25578, 26586, 102837, 147420, 177443, 213402, 217938, 1445787, 1449819, 1646442, 1707930, 1711962, 1715994, 1740690, 1752786, 1777482, 1941345
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 8: 0, 25, 374, 1776, 3065, 3774, 4244, 5243, 6062, 6152.

Links

Crossrefs

Union of A165094 and A165097. Cf. A165090, A165096, A165099, A165101, A165108, A165104.
In other bases: A163205 (base 2), A164998 (base 3), A165017 (base 4), A165037 (base 5), A165056 (base 6), A165076 (base 7), A165115 (base 9), A164716 (base 10).

A165115 Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 16, 48, 320, 400, 2256, 3712, 3856, 5168, 5312, 5456, 34960, 40080, 41520, 42240, 49520, 55360, 183696, 250592, 308992, 322096, 323392, 388992, 419888, 440192, 446096, 448688, 454592, 505792, 511696, 512992, 3496800, 3916640, 31531872
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 9: 0, 17, 53, 385, 484, 3076, 5074, 5254, 7072, 7252.

Links

Crossrefs

Union of A165114 and A165117. Cf. A165110, A165116, A165119, A165121, A165128, A165124.
In other bases: A163205 (base 2), A164998 (base 3), A165017 (base 4), A165037 (base 5), A165056 (base 6), A165076 (base 7), A165095 (base 8), A164716 (base 10).

A164718 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

0, 495, 6174, 53955, 61974, 62964, 420876, 549945, 631764, 7509843, 43208766, 63317664, 64308654, 97508421, 554999445, 753098643, 864197532, 4332087666, 6333176664, 6431088654, 6433086654, 6543086544, 9751088421, 9753086421
Offset: 1

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Links

Crossrefs

Union of A099009 and A164720. Cf. A151949, A164719, A099010, A164716, A164720, A151965.
In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165099 (base 8), A165119 (base 9). [From Joseph Myers, Sep 05 2009]

A164720 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives least elements of each cycle of length > 1.

Original entry on oeis.org

53955, 61974, 62964, 420876, 7509843, 43208766, 64308654, 753098643, 4332087666, 6431088654, 6433086654, 6543086544, 9751088421, 76320987633, 86420987532, 433320876666, 643110888654, 643310886654, 643330866654
Offset: 1

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Links

Crossrefs

Cf. A151949, A164721, A099009, A099010, A164716, A164718, A151965.
In other bases: Empty (base 2), A165004 (base 3), A165023 (base 4), A165043 (base 5), A165062 (base 6), A165082 (base 7), A165101 (base 8), A165121 (base 9). [From Joseph Myers, Sep 05 2009]
Showing 1-10 of 16 results. Next

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