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A261686 Values of |F-hat_4(n)|, a sum involving Stirling numbers of the second kind. 1
0, 0, 0, 0, 0, 1, 119, 6825, 302995, 12122110, 466876410, 17892864990, 694740296250, 27610143335775, 1129764045234825, 47758910109285375, 2089664150235787125, 94720506100682962500, 4449180413533177822500, 216538502534948561467500, 10915617077295918089602500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

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+m)))(-4):

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

CROSSREFS

Sequence in context: A048397 A020529 A163006 * A069328 A184330 A210044

Adjacent sequences:  A261683 A261684 A261685 * A261687 A261688 A261689

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 July 8 01:48 EDT 2020. Contains 335502 sequences. (Running on oeis4.)