login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A295342
The number of partitions of n in which at least one part is a multiple of 4.
3
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
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
KEYWORD
nonn
AUTHOR
R. J. Mathar, Nov 20 2017
STATUS
approved