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

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.

Crossrefs

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).

A165010 Smallest member of cycle corresponding to n-th term of A165009.

Original entry on oeis.org

0, 32, 184, 320, 1696, 2008, 5332, 15304, 18208, 19144, 26240, 55360, 137776, 164008, 146488, 172720, 175528, 433012, 520372, 1240024, 1476208, 1554904, 1502344, 1581040, 1589464, 3975844, 4487680, 4749760, 11160256, 13286008
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 3: 0, 1012, 20211, 102212, 2022211, 2202101, 21022111, 202222211, 220222101, 222021001.

Crossrefs

In other bases: A163205 (base 2), A165030 (base 4), A165049 (base 5), A165069 (base 6), A165088 (base 7), A165108 (base 8), A165128 (base 9), A151965 (base 10).

A165030 Smallest member of cycle corresponding to n-th term of A165029.

Original entry on oeis.org

0, 30, 201, 126, 570, 3369, 3873, 2550, 14565, 41958, 54441, 62625, 64641, 234405, 254865, 171990, 873129, 954261, 1036929, 1004193, 1044993, 3755685, 2788950, 4083345, 4165185, 15285909, 13978281, 16075425, 16399953, 16730625, 16599681
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

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

Crossrefs

In other bases: A163205 (base 2), A165010 (base 3), A165049 (base 5), A165069 (base 6), A165088 (base 7), A165108 (base 8), A165128 (base 9), A151965 (base 10).

A165049 Smallest member of cycle corresponding to n-th term of A165048.

Original entry on oeis.org

0, 8, 48, 392, 1992, 7488, 53712, 249992, 1831056, 6249992, 45781056, 48217776, 170312312, 1144531056, 1205467776, 1217651376, 4576557032, 4514058432, 28613281056, 28671874056, 22460937432, 30136717776, 30441401376
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 5: 0, 13, 143, 3032, 30432, 214423, 3204322, 30444432, 432043211, 3044444432.

Crossrefs

In other bases: A163205 (base 2), A165010 (base 3), A165030 (base 4), A165069 (base 6), A165088 (base 7), A165108 (base 8), A165128 (base 9), A151965 (base 10).

A165069 Smallest member of cycle corresponding to n-th term of A165068.

Original entry on oeis.org

0, 105, 430, 5600, 4305, 16840, 42925, 33860, 27195, 218960, 895275, 1548445, 1221860, 1657225, 1275170, 7892360, 6018495, 45962330, 55760125, 56319925, 59679145, 44002820, 60331825, 47681900, 284180120, 348285175, 277695950
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 6: 0, 253, 1554, 41532, 31533, 205544, 530421, 420432, 325523, 4405412.

Crossrefs

In other bases: A163205 (base 2), A165010 (base 3), A165030 (base 4), A165049 (base 5), A165088 (base 7), A165108 (base 8), A165128 (base 9), A151965 (base 10).

A165088 Smallest member of cycle corresponding to n-th term of A165087.

Original entry on oeis.org

0, 144, 1068, 9936, 55500, 640992, 3562968, 31412208, 228238488, 227429400, 220709400, 1922263344, 11432420652, 11150046252, 75796404672, 94197649008, 96503566608, 546394287000, 419850417612, 4615731883344, 3939440152944
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 7: 0, 264, 3054, 40653, 320544, 5306532, 42166443, 530666532, 5440665222, 5431055322.

Crossrefs

In other bases: A163205 (base 2), A165010 (base 3), A165030 (base 4), A165049 (base 5), A165069 (base 6), A165108 (base 8), A165128 (base 9), A151965 (base 10).

A165108 Smallest member of cycle corresponding to n-th term of A165107.

Original entry on oeis.org

0, 21, 252, 1589, 1022, 21483, 17892, 213402, 102837, 147420, 1445787, 1707930, 1711962, 13667738, 16092433, 6589877, 110132442, 111443346, 93093147, 76545756, 878996762, 1029991697, 874802586, 421817781, 1068263553
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 8: 0, 25, 374, 3065, 1776, 51753, 42744, 640632, 310665, 437734.

Crossrefs

In other bases: A163205 (base 2), A165010 (base 3), A165030 (base 4), A165049 (base 5), A165069 (base 6), A165088 (base 7), A165128 (base 9), A151965 (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.

Crossrefs

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).

A165129 Length of cycle corresponding to n-th term of A165127.

Original entry on oeis.org

1, 2, 2, 3, 3, 5, 1, 14, 2, 4, 1, 12, 1, 5, 4, 1, 6, 1, 6, 2, 2, 4, 6, 1, 11, 1, 1, 3, 4, 6, 1, 2, 1, 7, 1, 2, 1, 9, 6, 1, 1, 4, 4, 1, 1, 1, 15, 6, 1, 1, 6, 4, 7, 4, 1, 1, 10, 2, 2, 2, 1, 8, 3, 2, 7, 4, 1, 1, 1, 1, 2, 6, 1, 1, 3, 2, 6, 4, 6, 7, 3, 2, 8, 3, 7, 4, 1, 1, 1, 2, 13, 1, 1, 20, 4, 5, 1, 2, 3, 6, 2, 8
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Crossrefs

In other bases: A000012 (base 2), A165011 (base 3), A165031 (base 4), A165050 (base 5), A165070 (base 6), A165089 (base 7), A165109 (base 8), A151966 (base 10).

A165119 Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

0, 16, 320, 2256, 3712, 34960, 41520, 183696, 3496800, 31531872, 31596672, 278474880, 326952560, 2066242576, 2516902752, 2598744000, 23087388720, 26531651360, 167365651216, 203869268832, 211282856832, 1901588877840
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 9: 0, 17, 385, 3076, 5074, 52854, 62853, 308876, 6518633, 65288533.

Crossrefs

In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165099 (base 8), A164718 (base 10).
Showing 1-10 of 13 results. Next