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Search: id:A001261
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| A001261 |
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Number of permutations of length n by rises.
(Formerly M4273 N1786)
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+0
5
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| 1, 6, 63, 616, 6678, 77868, 978978, 13216104, 190899423, 2939850914, 48106651593, 833848627248, 15265844099324, 294412707629208, 5966764207952724, 126793739418994416, 2819296088257641741, 65470320271760790078
(list; graph; listen)
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OFFSET
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6,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 263.
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FORMULA
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E.g.f.: x^5/5!*exp(-x)/(1-x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 03 2003
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MAPLE
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a:=n->sum((n+3)!*sum((-1)^k/k!/5!, j=1..n), k=0..n): seq(a(n), n=2..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2007
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CROSSREFS
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Cf. A010027, A000255, A000166, A000274, A000313, A001260.
A diagonal in triangle A010027.
Sequence in context: A039937 A134112 A071588 this_sequence A132078 A113669 A121415
Adjacent sequences: A001258 A001259 A001260 this_sequence A001262 A001263 A001264
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 03 2003
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