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A261689
Values of g-hat_4(n), a sum involving Stirling numbers of the first kind.
1
1, 1, 11, 131, 1821, 29121, 526631, 10619735, 236128585, 5736575845, 151132416435, 4290611159835, 130556978677125, 4238232623249625, 146189527883974575, 5338862100892695375, 205783734992407196625, 8347924728847446868125, 355508623895766152686875
OFFSET
0,3
LINKS
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-> add((-1)^k*binomial(2*n+m, n-k)
*combinat[stirling1](n+k, k), k=0..n))(-4):
seq(a(n), n=0..20); # Alois P. Heinz, Sep 06 2015
MATHEMATICA
a[n_] := Function[m, Sum[(-1)^k*Binomial[2n+m, n-k]*StirlingS1[n+k, k], {k, 0, n}]][-4]; Table[a[n], {n, 0, 20}] (* Jean-François Alcover, Feb 28 2017, after Alois P. Heinz *)
CROSSREFS
Sequence in context: A082148 A075509 A061113 * A101334 A222872 A068645
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Sep 06 2015
EXTENSIONS
More terms from Alois P. Heinz, Sep 06 2015
STATUS
approved