login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+5} (1 - q^k)).
8

%I #9 Aug 09 2017 02:56:09

%S 1,2,4,7,12,19,29,43,62,88,122,167,225,301,396,519,672,866,1105,1406,

%T 1773,2230,2785,3469,4295,5307,6521,7998,9765,11899,14442,17499,21126,

%U 25464,30597,36706,43911,52454

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

%p ZL :=[S, {S = Set(Cycle(Z),4 < card)}, unlabelled]: seq(combstruct[count](ZL, size=n), n=5..42); # _Zerinvary Lajos_, Mar 25 2008

%p 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

%K nonn

%O 0,2

%A _N. J. A. Sloane_