A321381 Expansion of 1/2 * Product_{i>=0, j>=0, k>=0} (1 + x^(i^2 + j^2 + k^2)).

1, 3, 6, 11, 18, 33, 59, 96, 150, 230, 357, 552, 825, 1203, 1749, 2541, 3666, 5208, 7302, 10212, 14250, 19738, 27093, 36936, 50203, 68034, 91665, 122763, 163731, 217740, 288621, 380922, 500652, 655987, 857226, 1116798, 1450138, 1877232, 2423892, 3122094, 4010883, 5139132

Offset

0,2

Links

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

Formula

G.f.: Product_{k>0} (1 + x^k)^A002102(k).

Crossrefs

Cf. A002102, A033461, A321380.

Sequence in context: A003082 A058053 A264923 * A238903 A271079 A091094

Adjacent sequences: A321378 A321379 A321380 * A321382 A321383 A321384

Keyword

nonn

Author

Seiichi Manyama, Nov 08 2018

Status

approved