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 A061127 Number of degree-n permutations of order exactly 24. 0
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1663200, 19958400, 259459200, 4843238400, 72648576000, 988020633600, 14600749363200, 224704121241600, 3614691131251200, 84808750650624000, 1509309706083379200, 29359195162807910400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,11 LINKS Table of n, a(n) for n=1..22. FORMULA E.g.f.: exp(x + 1/2*x^2 + 1/4*x^4) - exp(x + 1/2*x^2 + 1/4*x^4 + 1/8*x^8) - exp(x + 1/2*x^2 + 1/3*x^3 + 1/4*x^4 + 1/6*x^6 + 1/12*x^12) + exp(x + 1/2*x^2 + 1/3*x^3 + 1/4*x^4 + 1/6*x^6 + 1/8*x^8 + 1/12*x^12 + 1/24*x^24). MATHEMATICA nn=22; Range[0, nn]!CoefficientList[Series[(Exp[x^24/24]-1)Exp[x+x^2/2+x^3/3+x^4/4+x^6/6+x^8/8+x^12/12]+(Exp[x^12/12]-1)(Exp[x^8/8]-1)Exp[x+x^2/2+x^3/3+x^4/4+x^6/6]+(Exp[x^8/8]-1)(Exp[x^6/6]-1)Exp[x+x^2/2+x^3/3+x^4/4]+(Exp[x^8/8]-1)(Exp[x^3/3]-1)Exp[x+x^2/2+x^4/4], {x, 0, nn}], x]//Rest (* Geoffrey Critzer, Feb 04 2013 *) CROSSREFS Cf. A000085, A001470, A001472, A052501, A053496 - A053505, A001189, A001471, A001473, A061121 - A061128. Sequence in context: A072922 A204762 A333512 * A183798 A158957 A136295 Adjacent sequences: A061124 A061125 A061126 * A061128 A061129 A061130 KEYWORD easy,nonn AUTHOR Vladeta Jovovic, Apr 14 2001 STATUS approved

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Last modified May 30 14:11 EDT 2023. Contains 363055 sequences. (Running on oeis4.)