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A045499
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Fourth-from-right diagonal of triangle A121207.
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4
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1, 1, 5, 20, 85, 400, 2046, 11226, 65676, 407787, 2675410, 18475311, 133843405, 1014271763, 8019687099, 66011609670, 564494701167, 5005880952390, 45958055208576, 436161412834300, 4273045478169842, 43160044390231165
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| With leading 0 and offset 3: number of permutations beginning with 4321 and avoiding 1-23. - Ralf Stephan, Apr 25 2004
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LINKS
| 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
| a(n+1) = Sum_{k=0..n} binomial(n+3, k+3)*a(k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 10 2003
With offset 3, e.g.f.: x^3 + exp(exp(x))/6 * int[0..x, t^3*exp(-exp(t)+t) dt]. - Ralf Stephan, Apr 25 2004
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CROSSREFS
| Cf. A045500, A045501.
Sequence in context: A126987 A152185 A152187 * A145932 A026661 A099014
Adjacent sequences: A045496 A045497 A045498 * A045500 A045501 A045502
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KEYWORD
| easy,nonn
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AUTHOR
| H. W. Gould (gould(AT)math.wvu.edu)
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EXTENSIONS
| 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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