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Search: id:A000313
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| A000313 |
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Number of permutations of length n by rises.
(Formerly M3633 N1477)
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+0
8
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| 1, 4, 30, 220, 1855, 17304, 177996, 2002440, 24474285, 323060540, 4581585866, 69487385604, 1122488536715, 19242660629360, 348933579412440, 6673354706262864, 134252194678935321, 2834212998777523380
(list; graph; listen)
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OFFSET
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4,2
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COMMENT
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a(n)=A065087(n+2)/3. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2007
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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^3/3!*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+1)!*sum((-1)^k/k!/3!, 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, A001260, A001261.
A diagonal in triangle A010027.
Sequence in context: A134093 A007905 A084976 this_sequence A082144 A137971 A052604
Adjacent sequences: A000310 A000311 A000312 this_sequence A000314 A000315 A000316
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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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