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 A000544 Number of permutations of length n by rises. (Formerly M3110 N1260) 1
 3, 25, 155, 1005, 7488, 64164, 619986, 6646750, 78161249, 999473835, 13801761213, 204631472475, 3241541125110, 54629642149630, 975867376041308, 18416844056075364, 366128842105397631, 7647337600268371485, 167424323805645018159, 3833790834030516355705, 91641405910147125954428, 2282611988081527293910920 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 REFERENCES F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 264. 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 FORMULA G.f.: x^2*sum(k*k!*(x^2-x+k-1)*(-x*(x-1)/(x+1))^k,k=0..infinity)/((x^2-1)^2*(x-1)^2) MATHEMATICA max = 22; s = Sum[k*k!*(x^2-x+k-1)*(-x*(x-1)/(x+1))^k, {k, 1, max+1}]/(x- x^2-x^3+x^4)^2 + O[x]^max; CoefficientList[s, x] (* Jean-François Alcover, Feb 09 2016 *) CROSSREFS Cf. A010030. Sequence in context: A144646 A277520 A303602 * A221777 A227995 A037776 Adjacent sequences:  A000541 A000542 A000543 * A000545 A000546 A000547 KEYWORD nonn AUTHOR EXTENSIONS More terms from Vladeta Jovovic, Nov 23 2007 Generating function from Sean A. Irvine, Nov 18 2010 STATUS approved

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Last modified January 19 20:12 EST 2019. Contains 319310 sequences. (Running on oeis4.)