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A000544
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Number of permutations of length n by rises.
(Formerly M3110 N1260)
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1
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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; internal format)
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OFFSET
| 4,1
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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).
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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)
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CROSSREFS
| Cf. A010030.
Sequence in context: A112495 A034578 A144646 * A037776 A037664 A037783
Adjacent sequences: A000541 A000542 A000543 * A000545 A000546 A000547
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 23 2007
Generating function from Sean A. Irvine (sairvin(AT)xtra.co.nz), Nov 18 2010
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