A321424 Expansion of 1/2 * Product_{0 <= i <= j <= k} (1 + x^(i^2 + j^2 + k^2)).

1, 1, 1, 2, 2, 3, 4, 4, 5, 8, 9, 11, 14, 16, 21, 25, 28, 35, 43, 50, 60, 70, 82, 98, 113, 131, 155, 182, 210, 244, 283, 326, 377, 432, 495, 571, 657, 747, 856, 979, 1112, 1269, 1439, 1632, 1859, 2105, 2377, 2694, 3040, 3426, 3867, 4349, 4894, 5509, 6184, 6939, 7788

Offset

0,4

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

G.f.: Product_{k>0} (1 + x^k)^A000164(k).

Crossrefs

Cf. A000164, A321381, A321423.

Sequence in context: A015742 A015754 A207613 * A289677 A113967 A205386

Adjacent sequences: A321421 A321422 A321423 * A321425 A321426 A321427

Keyword

nonn

Author

Seiichi Manyama, Nov 09 2018

Status

approved