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A261900 Values of |G-hat_3(n)|, a sum involving Stirling numbers of the second kind. 1
1, 1, 6, 48, 496, 6251, 92638, 1574650, 30150120, 641425785, 14999294310, 382187185380, 10535027302800, 312263647871175, 9901291024374750, 334357521973224750, 11978152435322073000, 453670047374482063125, 18110938144465399983750, 759996114581823934815000 (list; graph; refs; listen; history; text; internal format)
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 * A053506 A055861 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

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Last modified April 18 22:08 EDT 2019. Contains 322237 sequences. (Running on oeis4.)