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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 Table of n, a(n) for n=4..25. FORMULA G.f.: x^2*Sum_{k>=0} k*k!*(x^2-x+k-1)*(-x*(x-1)/(x+1))^k/((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: A277520 A367507 A303602 * A356200 A221777 A227995 Adjacent sequences: A000541 A000542 A000543 * A000545 A000546 A000547 KEYWORD nonn AUTHOR N. J. A. Sloane 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 August 12 15:11 EDT 2024. Contains 375113 sequences. (Running on oeis4.)