A033985 Number of partitions of n into two or more distinct nonzero squares.

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

Offset

1,26

Links

Table of n, a(n) for n=1..100.

Index entries for sequences related to sums of squares

Formula

G.f.: Product_{k>=1} (1+x^(k^2)) - Sum_{k>=1} x^(k^2). - Sean A. Irvine, Jul 26 2020

Crossrefs

Cf. A033461, A004431, A004432, A004433, A004434.

Sequence in context: A130457 A130454 A070787 * A216218 A122071 A353724

Adjacent sequences: A033982 A033983 A033984 * A033986 A033987 A033988

Keyword

nonn

Author

Jeff Burch

Extensions

Title improved by Sean A. Irvine, Jul 26 2020

Status

approved