A043696 -id:A043696 - 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

A043617 Numbers whose base-7 representation has exactly 2 runs.

Original entry on oeis.org

7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 56, 58, 59, 60, 61, 62, 65, 73, 81, 89, 97, 98, 106, 112, 113, 115, 116, 117, 118, 122, 130

Offset: 1

Clark Kimberling

Cf. A007093.

Subsequence of A043696.

A048304 Numbers whose base-7 expansions, read from left to right, have run lengths that strictly increase.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 8, 16, 24, 32, 40, 48, 49, 57, 65, 73, 81, 89, 97, 98, 106, 114, 122, 130, 138, 146, 147, 155, 163, 171, 179, 187, 195, 196, 204, 212, 220, 228, 236, 244, 245, 253, 261, 269, 277, 285, 293, 294, 302, 310, 318, 326, 334, 342, 343, 400, 457

Offset: 0

Patrick De Geest, Feb 15 1999

Cf. A037015, A043696, A043710, A044818, A044956.

A048318 Numbers whose base-7 expansions, read from left to right, have run lengths that strictly decrease.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 8, 16, 24, 32, 40, 48, 56, 57, 58, 59, 60, 61, 62, 112, 113, 114, 115, 116, 117, 118, 168, 169, 170, 171, 172, 173, 174, 224, 225, 226, 227, 228, 229, 230, 280, 281, 282, 283, 284, 285, 286, 336, 337, 338, 339, 340, 341, 342, 399, 400, 401

Offset: 0

Patrick De Geest, Feb 15 1999

Cf. A037013, A043696, A043710, A044818, A044956.

Select[Range[0,500],Max[Differences[Length/@Split[IntegerDigits[ #, 7]]]]<0&] (* Harvey P. Dale, Apr 27 2018 *)

cp's OEIS Frontend

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

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A043617 Numbers whose base-7 representation has exactly 2 runs.

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A048304 Numbers whose base-7 expansions, read from left to right, have run lengths that strictly increase.

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A048318 Numbers whose base-7 expansions, read from left to right, have run lengths that strictly decrease.

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