

A000386


Coefficients of ménage hit polynomials.
(Formerly M4137 N1715)


1



0, 0, 0, 1, 6, 20, 134, 915, 7324, 65784, 657180, 7223637, 86637650, 1125842556, 15757002706, 236298742375, 3780061394232, 64251145312880, 1156374220457784, 21968796934412649, 439337048505773790, 9225384943965382564, 202945418255342821470
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OFFSET

0,5


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

Table of n, a(n) for n=0..22.


MATHEMATICA

max = 22; f[x_, y_] := Sum[n!*((x*y)^n/(1+x*(y1))^(2*n+1)), {n, 0, max}]; t = MapIndexed[Take[#1, #2[[1]]]&, CoefficientList[Series[f[x, y], {x, 0, max}, {y, 0, max}], {x, y}]]; a[n_] := If[n<3, 0, t[[n+1, n2]]]; Table[ a[n], {n, 0, max}] (* JeanFrançois Alcover, Feb 08 2016, after Vladeta Jovovic in A058057 *)


CROSSREFS

A diagonal of A058057.
Sequence in context: A074012 A074013 A114959 * A000387 A145221 A027148
Adjacent sequences: A000383 A000384 A000385 * A000387 A000388 A000389


KEYWORD

nonn


AUTHOR

N. J. A. Sloane.


STATUS

approved



