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

Author

Jeff Burch

Keywords

• nonn

Links

• Index entries for sequences related to sums of squares

Crossrefs

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

Formula

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

Extensions

Title improved by Sean A. Irvine, Jul 26 2020