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%I A261900 #10 Sep 06 2015 15:35:27
%S A261900 1,1,6,48,496,6251,92638,1574650,30150120,641425785,14999294310,
%T A261900 382187185380,10535027302800,312263647871175,9901291024374750,
%U A261900 334357521973224750,11978152435322073000,453670047374482063125,18110938144465399983750,759996114581823934815000
%N A261900 Values of |G-hat_3(n)|, a sum involving Stirling numbers of the second kind.
%H A261900 Alois P. Heinz, Table of n, a(n) for n = 0..400
%H A261900 H. W. Gould, Harris Kwong, Jocelyn Quaintance, On Certain Sums of Stirling Numbers with Binomial Coefficients, J. Integer Sequences, 18 (2015), #15.9.6.
%p A261900 a:= n-> (m-> abs(add((-1)^k*binomial(2*n+m, n-k)
%p A261900 *combinat[stirling2](n+k, k), k=0..n)))(-3):
%p A261900 seq(a(n), n=0..20); # _Alois P. Heinz_, Sep 06 2015
%K A261900 nonn
%O A261900 0,3
%A A261900 _N. J. A. Sloane_, Sep 06 2015
%E A261900 More term from _Alois P. Heinz_, Sep 06 2015
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