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

0,7

Links

Table of n, a(n) for n=0..49.

Formula

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

Crossrefs

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

Sequence in context: A353902 A240076 A266771 * A226635 A024788 A285472

Adjacent sequences: A295339 A295340 A295341 * A295343 A295344 A295345

Keyword

nonn

Author

R. J. Mathar, Nov 20 2017

Status

approved