A295342 The number of partitions of n in which at least one part is a multiple of 4.

0, 0, 0, 0, 1, 1, 2, 3, 6, 8, 13, 18, 27, 37, 53, 71, 99, 131, 177, 232, 307, 397, 518, 663, 853, 1082, 1376, 1730, 2179, 2719, 3394, 4206, 5211, 6415, 7894, 9661, 11814, 14381, 17487, 21179, 25622, 30887, 37188, 44637, 53509, 63965, 76368, 90946, 108169, 128361

Offset: 0

Author

R. J. Mathar, Nov 20 2017

Keywords

• nonn

Crossrefs

Cf. A047967 (at least one multiple of 2), A295341 (at least one multiple of 3).

Formula

a(n) = A000041(n) - A001935(n).