A237278 Numbers k such that A000041(k) == 0 (mod 4).

11, 15, 21, 26, 30, 55, 58, 59, 62, 66, 70, 74, 75, 78, 80, 84, 94, 96, 98, 100, 106, 108, 109, 112, 113, 116, 117, 120, 122, 124, 125, 126, 128, 130, 131, 133, 135, 136, 137, 141, 142, 149, 153, 154, 171, 179, 180, 187, 191, 200, 205, 206, 230, 231, 236

Offset

1,1

Comments

The set of positive integers is partitioned by the sequences A237278-A237281.

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Example

A000041(11) = 56 == 0 (mod 4).

Mathematica

f[n_, k_] := Select[Range[250], Mod[PartitionsP[#], n] == k &]
Table[f[4, k], {k, 0, 3}] (* A237278-A237281 *)

Prog

(PARI) is(n)=numbpart(n)%4==0 \\ Charles R Greathouse IV, Apr 08 2015

Crossrefs

Cf. A000041, A237276, A237279, A237280, A237281, A243935 (see crossrefs).

Sequence in context: A343823 A105179 A120156 * A265114 A213179 A211322

Adjacent sequences: A237275 A237276 A237277 * A237279 A237280 A237281

Keyword

nonn,easy

Author

Clark Kimberling, Feb 05 2014

Status

approved