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 14 results. Next

A164719 Length of cycle mentioned in A164718.

Original entry on oeis.org

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

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Links

Crossrefs

Cf. A151949, A164718, A164715, A164717, A164721, A151966.
In other bases: A000012 (base 2), A165003 (base 3), A165022 (base 4), A165042 (base 5), A165061 (base 6), A165081 (base 7), A165100 (base 8), A165120 (base 9). [From Joseph Myers, Sep 05 2009]

A164716 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles, including fixed points.

Original entry on oeis.org

0, 495, 6174, 53955, 59994, 61974, 62964, 63954, 71973, 74943, 75933, 82962, 83952, 420876, 549945, 631764, 642654, 750843, 840852, 851742, 860832, 862632, 7509843, 7519743, 7619733, 8429652, 8439552, 8649432, 8719722, 9529641, 43208766
Offset: 1

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Links

Crossrefs

Union of A099009 and A099010. Cf. A151949, A164717, A164718, A164720, A151965.
In other bases: A163205 (base 2), A164998 (base 3), A165017 (base 4), A165037 (base 5), A165056 (base 6), A165076 (base 7), A165095 (base 8), A165115 (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]

A165002 Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

0, 32, 184, 320, 1696, 2008, 5332, 15304, 18208, 19144, 26240, 55360, 137776, 146488, 164008, 172720, 175528, 433012, 520372, 1240024, 1476208, 1502344, 1554904, 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.

Links

Crossrefs

Union of A164997 and A165004. Cf. A164993, A165003, A164998, A165000, A165010, A165006.
In other bases: A163205 (base 2), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (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).

A165041 Consider the base-5 Kaprekar map n->K(n) defined in A165032. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

0, 8, 48, 392, 1992, 7488, 53712, 249992, 1831056, 6249992, 45781056, 48217776, 170312312, 1144531056, 1205467776, 1217651376, 4514058432, 4576557032, 22460937432, 28613281056, 28671874056, 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.

Links

Crossrefs

Union of A165036 and A165043. Cf. A165032, A165042, A165037, A165039, A165049, A165045.
In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165060 (base 6), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (base 10).

A165060 Consider the base-6 Kaprekar map n->K(n) defined in A165051. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

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

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

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

Links

Crossrefs

Union of A165055 and A165062. Cf. A165051, A165061, A165056, A165058, A165069, A165064.
In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (base 10).

A165080 Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

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

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 7: 0, 264, 3054, 40653, 320544, 5306532, 42166443, 530666532, 5316666432, 5431055322.

Links

Crossrefs

Union of A165075 and A165082. Cf. A165071, A165081, A165076, A165078, A165088, A165084.
In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165099 (base 8), A165119 (base 9), A164718 (base 10).

A165099 Consider the base-8 Kaprekar map n->K(n) defined in A165090. Sequence gives least elements of each cycle, including fixed points.

Original entry on oeis.org

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

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

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

Links

Crossrefs

Union of A165094 and A165101. Cf. A165090, A165100, A165095, A165097, A165108, A165103.
In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165119 (base 9), A164718 (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.

Links

Crossrefs

Union of A165114 and A165121. Cf. A165110, A165120, A165115, A165117, A165128, A165123.
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 14 results. Next

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