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 1-9 of 9 results.

A216064 a(n) is the conjectured highest power of n which has no three identical digits in succession.

Original entry on oeis.org

1583, 1175, 774, 1359, 776, 607, 516, 579, 2, 472, 390, 460, 812, 426, 387, 800, 502, 476, 2, 400, 472, 387, 298, 382, 466, 386, 249, 374, 2, 238, 237, 289, 243, 338, 388, 254, 189, 263, 2, 481, 442, 389, 398, 232, 412, 296, 284, 261, 2, 216, 329, 367, 341, 271, 186, 349, 340, 236
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Links

Crossrefs

Cf. A216063, A216065.

A216065 a(n) is the conjectured highest power of n which has no four identical digits in succession.

Original entry on oeis.org

35864, 19590, 17932, 14103, 9702, 10061, 8892, 9795, 3, 6889, 8069, 8742, 6448, 6553, 8966, 4594, 6800, 6670, 3, 4869, 5061, 5635, 6001, 3784, 6450, 6530, 4631, 4930, 3, 4777, 4947, 6889, 4902, 5220, 4851, 4276, 3281, 4541, 3, 3679, 5302, 5279, 5271, 3317, 4296, 4331, 4930, 4921
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Crossrefs

Cf. A216063, A216064.

A215236 Greatest integer k such that n^i has no identical consecutive digits for i = 0..k.

Original entry on oeis.org

15, 10, 7, 10, 4, 5, 5, 5, 1, 0, 1, 8, 2, 1, 3, 6, 4, 4, 1, 1, 0, 5, 3, 5, 4, 3, 7, 4, 1, 5, 4, 0, 1, 1, 2, 6, 1, 3, 1, 4, 2, 3, 0, 2, 1, 1, 2, 2, 1, 6, 3, 2, 5, 0, 3, 3, 1, 3, 1, 2, 1, 2, 2, 1, 0, 1, 2, 3, 1, 2, 6, 5, 2, 5, 1, 0, 2, 3, 1, 2, 2, 1, 4, 1, 3, 5, 0
Offset: 2

Views

Author

T. D. Noe, Sep 17 2012

Keywords

Examples

			a(2) = 15 because the powers of 2 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536 and only the 16th power has consecutive identical digits.

Links

Crossrefs

Cf. A216063 (highest power of n having different consecutive digits), A217157.

Programs

  • Mathematica
    Table[k = 1; While[! MemberQ[Differences[IntegerDigits[n^k]], 0], k++]; k = k - 1, {n, 2, 100}]

Formula

a(n) = A217157(n) - 1. - Georg Fischer, Nov 25 2020

A216137 a(n) = conjectured number of integers k such that n^k has no two consecutive identical digits.

Original entry on oeis.org

40, 24, 22, 23, 10, 12, 14, 13, 1, 8, 7, 10, 10, 8, 12, 8, 6, 6, 1, 6, 6, 9, 6, 12, 8, 9, 8, 10, 1, 8, 8, 6, 5, 6, 5, 8, 8, 5, 1, 10, 5, 4, 7, 8, 6, 4, 6, 5, 1, 6, 6, 8, 7, 6, 6, 6, 4, 5, 1, 7, 5, 5, 8, 5, 4, 4, 3, 6, 1, 4, 7, 5, 5, 8, 3, 4, 5, 7, 1, 4, 6, 7, 6
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Links

Crossrefs

Cf. A216063, A216064, A216065.

Programs

  • Mathematica
    Table[cnt = 0; Do[If[! MemberQ[Differences[IntegerDigits[n^k]], 0], cnt++], {k, 1000}]; cnt, {n, 2, 100}] (* T. D. Noe, Sep 20 2012 *)

A216138 a(n) = conjectured number of integers k such that n^k has no three consecutive identical digits.

Original entry on oeis.org

335, 246, 164, 150, 141, 137, 109, 120, 2, 93, 79, 105, 105, 98, 85, 82, 76, 89, 2, 79, 79, 80, 72, 74, 71, 85, 79, 83, 2, 78, 62, 70, 76, 78, 75, 75, 67, 68, 2, 70, 70, 70, 67, 61, 65, 60, 60, 71, 2, 77, 74, 67, 63, 69, 69, 58, 62, 57, 2, 68, 60, 67, 47, 62
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Links

Crossrefs

Cf. A216063, A216064, A216065.

A216140 Conjectured number of digits in highest power of n with no two consecutive identical digits.

Original entry on oeis.org

38, 64, 38, 23, 21, 23, 38, 32, 2, 17, 17, 13, 88, 18, 32, 24, 23, 11, 2, 60, 52, 26, 17, 23, 43, 32, 16, 31, 2, 24, 25, 17, 19, 17, 21, 16, 37, 16, 2, 36, 31, 10, 30, 42, 39, 19, 17, 11, 2, 11, 14, 35, 25, 30, 20, 23, 25, 24, 2, 27, 26, 31, 38, 30, 30, 17, 8
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Comments

Number of digits in n^k is equal to A055642(n^k) = floor(1+k*log_10(n)). - V. Raman, Sep 27 2012

Links

Crossrefs

Cf. A216063, A216064, A216065.

Programs

  • Mathematica
    Table[mx = 0; Do[If[! MemberQ[Differences[d = IntegerDigits[n^k]], 0], mx = Length[d]], {k, 1000}]; mx, {n, 2, 50}] (* T. D. Noe, Oct 01 2012 *)

A216141 Conjectured number of digits in highest power of n with no three consecutive identical digits.

Original entry on oeis.org

477, 561, 466, 950, 604, 513, 466, 553, 3, 492, 421, 513, 931, 502, 466, 985, 631, 609, 3, 529, 634, 527, 412, 535, 660, 553, 361, 547, 3, 355, 357, 439, 373, 522, 604, 399, 299, 419, 4, 776, 718, 636, 655, 384, 686, 495, 478, 442, 4, 369, 565, 633, 591, 472
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Comments

The number of decimal digits in n^k is equal to A055642(n^k) = floor(1+k*log_10(n)). - V. Raman, Sep 27 2012

Links

Crossrefs

Cf. A216063, A216064, A216065.

A216139 a(n) = conjectured number of integers k such that n^k has no four consecutive identical digits.

Original entry on oeis.org

3674, 2385, 1836, 1608, 1438, 1333, 1239, 1201, 3, 1040, 1001, 978, 980, 948, 929, 881, 914, 852, 3, 828, 818, 834, 820, 819, 779, 786, 762, 750, 3, 708, 753, 759, 738, 676, 709, 685, 761, 703, 3, 703, 728, 707, 660, 675, 667, 633, 649, 660, 3
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Crossrefs

Cf. A216063, A216064, A216065.

A216142 Conjectured number of digits in highest power of n with no four consecutive identical digits.

Original entry on oeis.org

10797, 9347, 10797, 9858, 7550, 8503, 8031, 9347, 4, 7175, 8708, 9739, 7391, 7707, 10797, 5653, 8536, 8530, 4, 6438, 6795, 7674, 8283, 5290, 9127, 9347, 6702, 7210, 5, 7125, 7446, 10462, 7508, 8061, 7550, 6706, 5184, 7226, 5, 5934, 8607, 8624, 8663, 5484
Offset: 2

Views

Author

V. Raman, Sep 01 2012

Keywords

Comments

The number of decimal digits in n^k is equal to A055642(n^k) = floor(1+k*log_10(n)). - V. Raman, Sep 27 2012

Crossrefs

Cf. A216063, A216064, A216065.
Showing 1-9 of 9 results.

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