A307608 Number of partitions of n^2 into consecutive positive squares.

1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1

Offset: 1

Author

Ilya Gutkovskiy, Apr 18 2019

Keywords

• nonn

Examples

			29^2 = 20^2 + 21^2, so a(29) = 2.
		

Links

• Index entries for sequences related to sums of squares

Crossrefs

Cf. A000290, A030273, A034705, A037444, A097812, A151557, A296338.

Formula

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

a(n) = A296338(A000290(n)).

a(n) >= 2 for n in A097812.