A321566 Expansion of Product_{1 <= i_1 <= i_2 <= i_3 <= i_4} 1/(1 - x^(i_1*i_2*i_3*i_4)).

1, 1, 2, 3, 6, 8, 14, 19, 32, 44, 67, 91, 139, 186, 269, 362, 518, 687, 960, 1267, 1747, 2294, 3106, 4052, 5449, 7063, 9365, 12092, 15914, 20422, 26639, 34029, 44090, 56075, 72108, 91303, 116802, 147264, 187210, 235182, 297562, 372346, 468777, 584553, 732803, 910744

Offset

0,3

Links

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

N. J. A. Sloane, Transforms

Formula

Euler transform of A218320.

G.f.: Product_{k>0} 1/(1 - x^k)^A218320(k).

Crossrefs

Product_{1 <= i_1 <= i_2 <= ... <= i_b} 1/(1 - x^(i_1 * i_2 * ... * i_b)): A000041 (b=1), A182269 (b=2), A321360 (b=3), this sequence (b=4).

Cf. A066739, A218320, A321567.

Sequence in context: A327690 A182269 A321360 * A066739 A066815 A106182

Adjacent sequences: A321563 A321564 A321565 * A321567 A321568 A321569

Keyword

nonn

Author

Seiichi Manyama, Nov 13 2018

Status

approved