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A261901 Values of |G-hat_4(n)|, a sum involving Stirling numbers of the second kind. 1
1, 1, 7, 61, 679, 9150, 144186, 2594410, 52390030, 1171745575, 28726923225, 765549820035, 22022976400425, 679930906554900, 22417065396425700, 785869955615745000, 29184350973268491000, 1144300243940081353125, 47232865043365173046875, 2047016588845893645605625 (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)))(-4):

seq(a(n), n=0..20);  # Alois P. Heinz, Sep 06 2015

CROSSREFS

Sequence in context: A261687 A001830 A213326 * A048287 A317430 A145507

Adjacent sequences:  A261898 A261899 A261900 * A261902 A261903 A261904

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 06 2015

EXTENSIONS

More terms from Alois P. Heinz, Sep 06 2015

STATUS

approved

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Last modified April 18 11:10 EDT 2019. Contains 322209 sequences. (Running on oeis4.)