A261900 Values of |G-hat_3(n)|, a sum involving Stirling numbers of the second kind.

1, 1, 6, 48, 496, 6251, 92638, 1574650, 30150120, 641425785, 14999294310, 382187185380, 10535027302800, 312263647871175, 9901291024374750, 334357521973224750, 11978152435322073000, 453670047374482063125, 18110938144465399983750, 759996114581823934815000

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..400

H. W. Gould, Harris Kwong, Jocelyn Quaintance, On Certain Sums of Stirling Numbers with Binomial Coefficients, J. Integer Sequences, 18 (2015), #15.9.6.

Maple

a:= n-> (m-> abs(add((-1)^k*binomial(2*n+m, n-k)
         *combinat[stirling2](n+k, k), k=0..n)))(-3):
seq(a(n), n=0..20);  # Alois P. Heinz, Sep 06 2015

Crossrefs

Sequence in context: A051578 A052639 A248744 * A055861 A053506 A052567

Adjacent sequences: A261897 A261898 A261899 * A261901 A261902 A261903

Keyword

nonn

Author

N. J. A. Sloane, Sep 06 2015

Extensions

More term from Alois P. Heinz, Sep 06 2015

Status

approved