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Search: id:A045500
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| 1, 1, 6, 27, 125, 635, 3488, 20425, 126817, 831915, 5744784, 41618459, 315388311, 2493721645, 20526285716, 175529425815, 1556577220651, 14290644428279, 135624265589086, 1328702240382589, 13420603191219111, 139592874355534071
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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With leading 0 and offset 4: number of permutations beginning with 54321 and avoiding 1-23. - Ralf Stephan, Apr 25 2004
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REFERENCES
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See also references under sequence A040027
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LINKS
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S. Kitaev, Generalized pattern avoidance with additional restrictions, Sem. Lothar. Combinat. B48e (2003).
S. Kitaev and T. Mansour, Simultaneous avoidance of generalized patterns.
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FORMULA
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a(n+1) = Sum_{k=0..n} binomial(n+4, k+4)*a(k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 10 2003
With offset 4, e.g.f.: x^4 + exp(exp(x))/24 * int[0..x, t^4*exp(-exp(t)+t) dt]. - Ralf Stephan, Apr 25 2004
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CROSSREFS
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Cf. A040027, A045499, A045501, A121207.
Sequence in context: A079762 A002912 A030297 this_sequence A109115 A038176 A104745
Adjacent sequences: A045497 A045498 A045499 this_sequence A045501 A045502 A045503
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KEYWORD
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easy,nonn
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AUTHOR
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H. W. Gould (gould(AT)math.wvu.edu)
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 10 2003
Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Dec 11 2006
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