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A261688
Values of g-hat_3(n), a sum involving Stirling numbers of the first kind.
1
1, 1, 9, 93, 1149, 16569, 273077, 5060825, 104129025, 2354517165, 58020227265, 1547299398645, 44393468444325, 1363355665697025, 44620110552142125, 1550263572136904625, 56983667551893707625, 2209245411411957043125, 90095221067259428645625
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))(-3):
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}]][-3]; Table[a[n], {n, 0, 20}] (* Jean-François Alcover, Feb 28 2017, after Alois P. Heinz *)
CROSSREFS
Sequence in context: A181958 A082724 A061635 * A246212 A163951 A231658
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Sep 06 2015
EXTENSIONS
More terms from Alois P. Heinz, Sep 06 2015
STATUS
approved