A035300 Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+4} (1 - q^k)).

1, 2, 4, 7, 12, 18, 28, 40, 58, 80, 111, 149, 201, 264, 348, 450, 583, 744, 950, 1199, 1514, 1893, 2366, 2935, 3638, 4480, 5513, 6746, 8247, 10035, 12196, 14763, 17850, 21504, 25875, 31038, 37184, 44422

Offset

0,2

Links

Table of n, a(n) for n=0..37.

Formula

a(n) = A000041(n+4) - round((n+7)^2/12). - Vladeta Jovovic, Jun 18 2003

Maple

ZL :=[S, {S = Set(Cycle(Z), 3 < card)}, unlabelled]: seq(combstruct[count](ZL, size=n), n=4..41); # Zerinvary Lajos, Mar 25 2008
B:=[S, {S = Set(Sequence(Z, 1 <= card), card >=4)}, unlabelled]: seq(combstruct[count](B, size=n), n=4..41); # Zerinvary Lajos, Mar 21 2009

Crossrefs

Cf. A004250, A035301.

Sequence in context: A003318 A329398 A353150 * A035296 A230118 A105807

Adjacent sequences: A035297 A035298 A035299 * A035301 A035302 A035303

Keyword

nonn

Author

N. J. A. Sloane

Status

approved