A303947 Number of partitions of n into at most 1 copy of 2^2, 2 copies of 3^2, 3 copies of 4^2, ... .

1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 3, 0, 1, 1, 2, 3, 0, 2, 1, 4, 0, 1, 2, 2, 2, 0, 4, 1, 2, 1, 3, 3, 1, 3, 1, 5, 1, 3, 2, 4, 3, 1, 4, 2, 4, 1, 5, 3, 3, 4, 4, 6, 2, 4

Offset

0,26

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

G.f.: Product_{k>=2} (1-x^(k^3))/(1-x^(k^2)).

Crossrefs

Cf. A033461, A087153, A303942.

Sequence in context: A036274 A359241 A047753 * A031123 A359542 A104194

Adjacent sequences: A303944 A303945 A303946 * A303948 A303949 A303950

Keyword

nonn,look

Author

Seiichi Manyama, May 03 2018

Status

approved