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A000222 Coefficients of ménage hit polynomials.
(Formerly M2602 N1029)
2
0, 0, 1, 3, 6, 38, 213, 1479, 11692, 104364, 1036809, 11344859, 135548466, 1755739218, 24504637741, 366596136399, 5852040379224, 99283915922264, 1783921946910417, 33840669046326579, 675849838112277598, 14174636583759324798 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 198.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..150

FORMULA

a(n) ~ 2/exp(2) * n!. - Vaclav Kotesovec, Sep 06 2014

MATHEMATICA

max = 30; f[x_, y_] := Sum[n!*((x*y)^n/(1+x*(y-1))^(2*n+1)), {n, 0, max}]; t = MapIndexed[Take[#1, First[#2]]&, CoefficientList[Series[f[x, y], {x, 0, max}, {y, 0, max}], {x, y}]] ; a[0] = a[1] = 0; a[n_] := t[[n+1, n-1]]; Table[a[n], {n, 0, max}] (* Jean-François Alcover, Mar 11 2014, after Vladeta Jovovic *)

CROSSREFS

A diagonal of A058057.

Sequence in context: A025596 A172361 A114038 * A208649 A203178 A104271

Adjacent sequences:  A000219 A000220 A000221 * A000223 A000224 A000225

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Simon Plouffe

STATUS

approved

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Last modified March 23 21:31 EDT 2017. Contains 283985 sequences.