A043705 -id:A043705 - 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

A043675 Numbers whose base-16 representation has exactly 2 runs.

Original entry on oeis.org

16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79

Offset: 1

Clark Kimberling

Robert Israel, Table of n, a(n) for n = 1..10000

Subsequence of A043705.

N:= 3; # get all results <= 16^N
sort([seq(seq(seq(seq((a*(16^n-16^k)+b*(16^k-1))/15, k=1..n-1),n=2..N),
b={$0..15} minus {a}),a=1..15)]); # Robert Israel, Dec 11 2015

A048313 Numbers whose base-16 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, 13, 14, 15, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 256, 273, 290, 307, 324, 341, 358, 375, 392, 409, 426, 443, 460, 477, 494, 511, 512, 529, 546, 563, 580, 597, 614, 631, 648, 665, 682, 699

Offset: 0

Patrick De Geest, Feb 15 1999

Cf. A037015, A043705, A043719, A044827, A044965.

A048327 Reading base-16 expansion from left to right, run lengths strictly decrease.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555

Offset: 0

Patrick De Geest, Feb 15 1999

Cf. A037013, A043705, A043719, A044827, A044965.

cp's OEIS Frontend

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

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PARI

A043675 Numbers whose base-16 representation has exactly 2 runs.

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Maple

A048313 Numbers whose base-16 expansions, read from left to right, have run lengths that strictly increase.

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A048327 Reading base-16 expansion from left to right, run lengths strictly decrease.

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