A043702 -id:A043702 - cp's OEIS frontend

A043703 Numbers whose base-14 representation has an even number of runs.

14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78

Offset: 1

Clark Kimberling

David A. Corneth, Table of n, a(n) for n = 1..10000

Cf. A299174, A043692, A043693, A043694, A043695, A043696, A043697, A043698, A043700, A043701, A043702, A043703, A043704, A043705.

Cf. A043717 (complement).

Select[Range[80],EvenQ[Length[Split[IntegerDigits[#,14]]]]&] (* Harvey P. Dale, Aug 30 2020 *)

is(n) = qstreaks(n)%2 == 0
qstreaks(n, {b = 14}) = {my(d = digits(n, b)); sum(i = 2, #d, d[i]!=d[i-1])+1} \\ David A. Corneth, Aug 31 2020

A043657 Numbers whose base-13 representation has exactly 2 runs.

Original entry on oeis.org

13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77

Offset: 1

Clark Kimberling

Subsequence of A043702.

A048310 Numbers whose base-13 expansions, read from left to right, have run lengths that strictly increase.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 169, 183, 197, 211, 225, 239, 253, 267, 281, 295, 309, 323, 337, 338, 352, 366, 380, 394, 408, 422, 436, 450, 464, 478, 492, 506, 507, 521, 535, 549, 563, 577, 591, 605

Offset: 0

Patrick De Geest, Feb 15 1999

Cf. A037015, A043702, A043716, A044824, A044962.

A048324 Numbers whose base-13 expansions, read from left to right, have run lengths that strictly decrease.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 546, 547, 548, 549, 550, 551, 552, 553

Offset: 0

Patrick De Geest, Feb 15 1999

Cf. A037013, A043702, A043716, A044824, A044962.

cp's OEIS Frontend

A043703 Numbers whose base-14 representation has an even number of runs.

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A043657 Numbers whose base-13 representation has exactly 2 runs.

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A048310 Numbers whose base-13 expansions, read from left to right, have run lengths that strictly increase.

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A048324 Numbers whose base-13 expansions, read from left to right, have run lengths that strictly decrease.

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