A061978 -id:A061978 - cp's OEIS frontend

A029457 Numbers k that divide the (right) concatenation of all numbers <= k written in base 12 (most significant digit on left).

1, 2, 3, 4, 6, 11, 12, 15, 16, 18, 22, 24, 29, 33, 36, 44, 45, 48, 55, 66, 72, 87, 88, 99, 121, 132, 144, 154, 168, 176, 192, 198, 216, 224, 242, 252, 258, 264, 288, 297, 308, 336, 352, 363, 369, 378, 396, 432, 448, 462, 484, 504, 528, 561, 576, 594, 616, 672

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..348

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 12; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

A029458 Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).

Original entry on oeis.org

1, 3, 9, 13, 15, 16, 39, 48, 65, 169, 208, 240, 377, 400, 507, 603, 624, 720, 1040, 1168, 1200, 1287, 1521, 1833, 1872, 2197, 2592, 2784, 3393, 3744, 4563, 5211, 5408, 6591, 7989, 8299, 11232, 13689, 16224, 16992, 18477, 19643, 19773, 24352, 28561, 37349

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..49

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 13; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

More terms from David W. Wilson

A029459 Numbers k that divide the (right) concatenation of all numbers <= k written in base 14 (most significant digit on left).

Original entry on oeis.org

1, 2, 6, 7, 10, 13, 14, 18, 19, 21, 26, 28, 36, 39, 42, 49, 52, 63, 69, 78, 84, 91, 98, 102, 117, 126, 147, 156, 169, 182, 196, 273, 308, 338, 343, 363, 364, 392, 507, 637, 676, 686, 728, 952, 968, 1029, 1078, 1183, 1274, 1352, 1372, 1573, 1768, 1898, 1911

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..130

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 14; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

A029461 Numbers k that divide the (right) concatenation of all numbers <= k written in base 16 (most significant digit on left).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 83, 96, 100, 120, 122, 124, 128, 150, 160, 192, 200, 240, 256, 270, 285, 288, 300, 320, 342, 360, 384, 397, 400, 432, 450, 456, 474, 480, 512, 513, 540, 552, 570, 576, 600

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..178

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 16; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

A029463 Numbers k that divide the (right) concatenation of all numbers <= k written in base 18 (most significant digit on left).

Original entry on oeis.org

1, 2, 3, 6, 9, 17, 18, 27, 34, 36, 44, 51, 54, 68, 81, 99, 102, 108, 153, 162, 204, 289, 306, 324, 340, 360, 408, 442, 459, 486, 536, 540, 578, 612, 648, 680, 702, 729, 867, 908, 918, 972, 1020, 1080, 1156, 1224, 1326, 1377, 1458, 1620, 1683, 1734, 1836

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..225

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 18; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

A029464 Numbers k that divide the (right) concatenation of all numbers <= k written in base 19 (most significant digit on left).

Original entry on oeis.org

1, 3, 9, 19, 27, 36, 47, 51, 57, 76, 83, 108, 156, 171, 228, 279, 323, 361, 405, 475, 492, 513, 675, 684, 855, 1083, 1349, 1412, 1425, 1444, 1539, 1805, 2025, 2052, 2565, 2812, 3249, 4275, 4332, 4775, 5415, 6156, 6859, 8664, 9747, 9848, 10469, 12312

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..67

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 19; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

More terms from David W. Wilson

A029465 Numbers k that divide the (right) concatenation of all numbers <= k written in base 20 (most significant digit on left).

Original entry on oeis.org

1, 2, 4, 5, 6, 10, 12, 14, 18, 19, 20, 24, 25, 30, 36, 38, 40, 45, 48, 50, 57, 58, 60, 71, 72, 74, 75, 76, 80, 85, 90, 95, 100, 114, 120, 144, 150, 152, 171, 180, 190, 200, 225, 228, 240, 261, 285, 300, 304, 318, 342, 360, 361, 380, 400, 410, 475, 500, 608, 703

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..187

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 20; c = {}; Select[Range[10^5], Divisible[FromDigits[
c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

A029467 Numbers k that divide the (right) concatenation of all numbers <= k written in base 22 (most significant digit on left).

Original entry on oeis.org

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 28, 30, 33, 42, 44, 49, 60, 66, 70, 77, 84, 98, 110, 119, 121, 132, 140, 147, 154, 196, 201, 210, 220, 222, 231, 242, 294, 308, 330, 356, 363, 386, 420, 462, 484, 504, 511, 522, 539, 561, 588, 605, 616, 627, 693, 726, 792

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..219

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 22; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

A029469 Numbers k that divide the (right) concatenation of all numbers <= k written in base 24 (most significant digit on left).

Original entry on oeis.org

1, 2, 3, 4, 6, 8, 10, 12, 20, 23, 24, 32, 36, 46, 48, 62, 64, 69, 72, 86, 92, 96, 107, 138, 144, 174, 184, 192, 207, 246, 276, 288, 304, 368, 414, 529, 552, 576, 621, 736, 739, 759, 768, 828, 864, 947, 1044, 1058, 1104, 1136, 1152, 1224, 1242, 1472, 1536

Offset: 1

Olivier Gérard

Robert Price, Table of n, a(n) for n = 1..192

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 24; c = {}; Select[Range[10^5], Divisible[FromDigits[c = Join[c, IntegerDigits[#, b]], b], #] &] (* Robert Price, Mar 11 2020 *)

A029476 Numbers k that divide the (left) concatenation of all numbers <= k written in base 7 (most significant digit on left).

Original entry on oeis.org

1, 3, 15, 16, 29, 48, 75, 144, 477, 6211, 16053, 32688, 40431, 66313, 129825, 134224, 278064, 366064, 386863, 3157824, 4446069, 6697664, 8354233, 28775616, 33559488, 34107072, 38339136, 50059629, 50280080, 71693520, 113603184, 220308720, 247082832, 2637755936

Offset: 1

Olivier Gérard

a(40) > 3*10^10. - Jason Yuen, May 14 2024

			15 is a term: 212016151413121110654321_7 = 59785983230307066720 = 15 * 3985732215353804448.

Jason Yuen, Table of n, a(n) for n = 1..39
Index entries for related sequences

Cf. A007093.

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 7; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[#, b], c], b], #] &] (* Robert Price, Mar 12 2020 *)

More terms from 6211 from Andrew Gacek (andrew(AT)dgi.net), Feb 20 2000
More terms from Larry Reeves (larryr(AT)acm.org), Sep 29 2001
Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002
a(20)-a(30) from Max Alekseyev, May 13 2011

cp's OEIS Frontend

A029457 Numbers k that divide the (right) concatenation of all numbers <= k written in base 12 (most significant digit on left).

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A029458 Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).

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A029459 Numbers k that divide the (right) concatenation of all numbers <= k written in base 14 (most significant digit on left).

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A029461 Numbers k that divide the (right) concatenation of all numbers <= k written in base 16 (most significant digit on left).

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A029463 Numbers k that divide the (right) concatenation of all numbers <= k written in base 18 (most significant digit on left).

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A029464 Numbers k that divide the (right) concatenation of all numbers <= k written in base 19 (most significant digit on left).

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A029465 Numbers k that divide the (right) concatenation of all numbers <= k written in base 20 (most significant digit on left).

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A029467 Numbers k that divide the (right) concatenation of all numbers <= k written in base 22 (most significant digit on left).

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A029469 Numbers k that divide the (right) concatenation of all numbers <= k written in base 24 (most significant digit on left).

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Mathematica

A029476 Numbers k that divide the (left) concatenation of all numbers <= k written in base 7 (most significant digit on left).

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