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

0,6

Links

Table of n, a(n) for n=0..53.

Index entries for sequences related to sums of squares

Index entries for related partition-counting sequences

Formula

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

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

Example

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

Crossrefs

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

Sequence in context: A249145 A048684 A191613 * A243404 A219181 A347833

Adjacent sequences: A298639 A298640 A298641 * A298643 A298644 A298645

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 24 2018

Status

approved