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 12 results. Next

A165024 Length of cycle mentioned in A165023.

Original entry on oeis.org

2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165012, A165023, A165018, A165020, A165022, A165031.
In other bases: Empty (base 2), A165005 (base 3), A165044 (base 5), A165063 (base 6), A165083 (base 7), A165102 (base 8), A165122 (base 9), A164721 (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).

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]

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).

A165004 Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives least elements of each cycle of length > 1.

Original entry on oeis.org

32, 320, 1696, 15304, 18208, 26240, 137776, 164008, 172720, 433012, 1240024, 1476208, 1554904, 1581040, 4487680, 11160256, 13286008, 13994560, 14230648, 14309056, 35075092, 42160852, 100442344, 106819600, 119574208, 125951464
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 3: 1012, 102212, 2022211, 202222211, 220222101, 1022222212, 20222222211, 22022222101, 22202221001, 210222222111.

Links

Crossrefs

Cf. A164993, A165005, A164997, A164998, A165002, A165000, A165010.
In other bases: Empty (base 2), A165023 (base 4), A165043 (base 5), A165062 (base 6), A165082 (base 7), A165101 (base 8), A165121 (base 9), A164720 (base 10).

A165021 Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

0, 30, 126, 201, 570, 2550, 3369, 3873, 14565, 41958, 54441, 62625, 64641, 171990, 234405, 254865, 873129, 954261, 1004193, 1036929, 1044993, 2788950, 3755685, 4083345, 4165185, 11140950, 13978281, 15285909, 16075425, 16399953, 16599681
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 4: 0, 132, 1332, 3021, 20322, 213312, 310221, 330201, 3203211, 22033212.

Links

Crossrefs

Union of A165016 and A165023. Cf. A165012, A165022, A165017, A165019, A165030, A165025.
In other bases: A163205 (base 2), A165002 (base 3), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (base 10).

A165043 Consider the base-5 Kaprekar map n->K(n) defined in A165032. Sequence gives least elements of each cycle of length > 1.

Original entry on oeis.org

48, 1992, 7488, 53712, 249992, 6249992, 45781056, 170312312, 1144531056, 1205467776, 4514058432, 4576557032, 22460937432, 28613281056, 28671874056, 30136717776, 30441401376, 106445312312, 112304687432, 715332031056
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 5: 143, 30432, 214423, 3204322, 30444432, 3044444432, 43204443211, 322044443222, 4320444443211, 4432044432101.

Links

Crossrefs

Cf. A165032, A165044, A165036, A165037, A165041, A165039, A165049.
In other bases: Empty (base 2), A165004 (base 3), A165023 (base 4), A165062 (base 6), A165082 (base 7), A165101 (base 8), A165121 (base 9), A164720 (base 10).

A165062 Consider the base-6 Kaprekar map n->K(n) defined in A165051. Sequence gives least elements of each cycle of length > 1.

Original entry on oeis.org

430, 4305, 16840, 218960, 895275, 1221860, 1548445, 7892360, 44002820, 55760125, 59679145, 284180120, 1584195140, 1654738970, 2007458365, 2027613685, 2148546025, 2172060145, 10230811640, 12538603735, 57031585220, 59571164570
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 6: 1554, 31533, 205544, 4405412, 31104443, 42104432, 53104421, 441054412, 4211044432, 5311044421.

Links

Crossrefs

Cf. A165051, A165063, A165055, A165056, A165060, A165058, A165069.
In other bases: Empty (base 2), A165004 (base 3), A165023 (base 4), A165043 (base 5), A165082 (base 7), A165101 (base 8), A165121 (base 9), A164720 (base 10).

A165082 Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives least elements of each cycle of length > 1.

Original entry on oeis.org

144, 1068, 9936, 55500, 640992, 3562968, 31412208, 220709400, 227429400, 228238488, 11150046252, 11432420652, 75796404672, 419850417612, 546394287000, 3939440152944, 26773614188652, 26884299308652
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 7: 264, 3054, 40653, 320544, 5306532, 42166443, 530666532, 5316666432, 5431055322, 5440665222.

Links

Crossrefs

Cf. A165071, A165083, A165075, A165076, A165080, A165078, A165088.
In other bases: Empty (base 2), A165004 (base 3), A165023 (base 4), A165043 (base 5), A165062 (base 6), A165101 (base 8), A165121 (base 9), A164720 (base 10).

A165101 Consider the base-8 Kaprekar map n->K(n) defined in A165090. Sequence gives least elements of each cycle of length > 1.

Original entry on oeis.org

1022, 1589, 17892, 21483, 102837, 1445787, 1707930, 6589877, 13667738, 93093147, 110132442, 111443346, 421817781, 874802586, 878996762, 1029991697, 7034104602, 7168322322, 7302540042, 26996862389, 55987891610, 56256326938
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 8: 1776, 3065, 42744, 51753, 310665, 5407633, 6407632, 31106665, 64106632, 543076433.

Links

Crossrefs

Cf. A165090, A165102, A165094, A165095, A165099, A165097, A165108.
In other bases: Empty (base 2), A165004 (base 3), A165023 (base 4), A165043 (base 5), A165062 (base 6), A165082 (base 7), A165121 (base 9), A164720 (base 10).
Showing 1-10 of 12 results. Next

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