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 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 (list; graph; refs; listen; history; text; internal format)
 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 MATHEMATICA max = 22; 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_] := If[n<3, 0, t[[n+1, n-2]]]; Table[ a[n], {n, 0, max}] (* Jean-François Alcover, Feb 08 2016, after Vladeta Jovovic in A058057 *) CROSSREFS A diagonal of A058057. Sequence in context: A074013 A333896 A114959 * A000387 A145221 A332391 Adjacent sequences: A000383 A000384 A000385 * A000387 A000388 A000389 KEYWORD nonn AUTHOR STATUS approved

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Last modified March 31 14:23 EDT 2023. Contains 361657 sequences. (Running on oeis4.)