A043724 Numbers whose number of runs in the base-2 representation is congruent to 0 mod 4.

10, 18, 20, 22, 26, 34, 36, 38, 40, 44, 46, 50, 52, 54, 58, 66, 68, 70, 72, 76, 78, 80, 88, 92, 94, 98, 100, 102, 104, 108, 110, 114, 116, 118, 122, 130, 132, 134, 136, 140, 142, 144, 152, 156, 158, 160, 170, 176, 184, 188, 190, 194, 196, 198, 200, 204, 206

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A005811.

Programs

Mathematica

Select[Range[200],Divisible[Length[Split[IntegerDigits[#,2]]],4]&] (* Harvey P. Dale, May 21 2012 *)

PARI

isok(k) = (hammingweight(bitxor(k, k>>1)) % 4) == 0; \\ Michel Marcus, Oct 04 2023