A298642 Number of partitions of n^2 into distinct squares > 1.

1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 5, 2, 10, 4, 12, 12, 11, 19, 23, 43, 50, 55, 78, 120, 126, 234, 207, 407, 385, 701, 712, 1090, 1231, 1850, 2102, 3054, 3385, 4988, 5584, 7985, 9746, 12205, 15737, 18968, 25157, 30927, 39043, 47708, 61915, 74592, 99554

Offset: 0

Author

Ilya Gutkovskiy, Jan 24 2018

Keywords

• nonn

Examples

			a(5) = 2 because we have [25] and [16, 9].
		

Links

• Index entries for sequences related to sums of squares
• Index entries for related partition-counting sequences

Crossrefs

Cf. A000290, A001156, A030273, A033461, A037444, A078134, A092362, A093115, A093116, A280129, A298640.

Formula

a(n) = [x^(n^2)] Product_{k>=2} (1 + x^(k^2)).

a(n) = A280129(A000290(n)).