A035301 Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+5} (1 - q^k)).

1, 2, 4, 7, 12, 19, 29, 43, 62, 88, 122, 167, 225, 301, 396, 519, 672, 866, 1105, 1406, 1773, 2230, 2785, 3469, 4295, 5307, 6521, 7998, 9765, 11899, 14442, 17499, 21126, 25464, 30597, 36706, 43911, 52454, 62497, 74359, 88270, 104638, 123782, 146240, 172436

Offset

0,2

Links

Table of n, a(n) for n=0..44.

Maple

ZL :=[S, {S = Set(Cycle(Z), 4 < card)}, unlabelled]: seq(combstruct[count](ZL, size=n), n=5..42); # Zerinvary Lajos, Mar 25 2008
# Alternative:
B:=[S, {S = Set(Sequence(Z, 1 <= card), card >=5)}, unlabelled]: seq(combstruct[count](B, size=n), n=5..42); # Zerinvary Lajos, Mar 21 2009

Crossrefs

Sequence in context: A103231 A002622 A363276 * A035297 A272465 A153252

Adjacent sequences: A035298 A035299 A035300 * A035302 A035303 A035304

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Jun 01 2026

Status

approved