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 A000450 Coefficients of ménage hit polynomials. (Formerly M4709 N2012) 1
 1, 10, 50, 385, 3130, 28764, 291900, 3249210, 39367395, 515874470, 7270929806, 109691447395, 1763782644020, 30114243100760, 544123405603800, 10373304279494964, 208092476689208805, 4381794437494059810, 96635643877147885450, 2227562535558247510885 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,2 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 R. C. Read, Letter to N. J. A. Sloane, Oct. 29, 1976 MATHEMATICA 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 *) CROSSREFS A diagonal of A058057. Sequence in context: A220149 A154410 A060156 * A124872 A240534 A223161 Adjacent sequences: A000447 A000448 A000449 * A000451 A000452 A000453 KEYWORD nonn AUTHOR STATUS approved

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Last modified March 28 03:48 EDT 2023. Contains 361577 sequences. (Running on oeis4.)