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A000450
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Coefficients of ménage hit polynomials.
(Formerly M4709 N2012)
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1
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1, 10, 50, 385, 3130, 28764, 291900, 3249210, 39367395, 515874470, 7270929806, 109691447395, 1763782644020, 30114243100760, 544123405603800, 10373304279494964, 208092476689208805, 4381794437494059810, 96635643877147885450, 2227562535558247510885
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OFFSET
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4,2
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REFERENCES
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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).
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LINKS
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Table of n, a(n) for n=4..23.
R. C. Read, Letter to N. J. A. Sloane, Oct. 29, 1976
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MATHEMATICA
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max = 23; f[x_, y_] := Sum[n!*((x*y)^n/(1 + x*(y-1))^(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_] := t[[n+1, n-3]]; Table[a[n], {n, 4, max}] (* Jean-François Alcover, Feb 08 2016, after Vladeta Jovovic in A058057 *)
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CROSSREFS
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A diagonal of A058057.
Sequence in context: A220149 A154410 A060156 * A124872 A240534 A223161
Adjacent sequences: A000447 A000448 A000449 * A000451 A000452 A000453
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Simon Plouffe
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STATUS
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approved
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