%I #10 Sep 06 2015 15:35:27
%S 1,1,6,48,496,6251,92638,1574650,30150120,641425785,14999294310,
%T 382187185380,10535027302800,312263647871175,9901291024374750,
%U 334357521973224750,11978152435322073000,453670047374482063125,18110938144465399983750,759996114581823934815000
%N Values of |G-hat_3(n)|, a sum involving Stirling numbers of the second kind.
%H Alois P. Heinz, <a href="/A261900/b261900.txt">Table of n, a(n) for n = 0..400</a>
%H H. W. Gould, Harris Kwong, Jocelyn Quaintance, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Kwong/kwong9.html">On Certain Sums of Stirling Numbers with Binomial Coefficients</a>, J. Integer Sequences, 18 (2015), #15.9.6.
%p a:= n-> (m-> abs(add((-1)^k*binomial(2*n+m, n-k)
%p *combinat[stirling2](n+k, k), k=0..n)))(-3):
%p seq(a(n), n=0..20); # _Alois P. Heinz_, Sep 06 2015
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Sep 06 2015
%E More term from _Alois P. Heinz_, Sep 06 2015