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Search: id:A116735
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A116735 Number of permutations of length n which avoid the patterns 231, 1234, 4312; or avoid the patterns 312, 1234, 1432, etc. +0
1
1, 2, 5, 12, 23, 38, 57, 80, 107, 138, 173, 212, 255, 302, 353, 408, 467, 530, 597, 668, 743, 822, 905, 992, 1083, 1178, 1277, 1380, 1487, 1598 (list; graph; listen)
OFFSET

1,2

LINKS

Lara Pudwell, Systematic Studies in Pattern Avoidance, 2005.

FORMULA

G.f.: A(x) = -{(2x^3+2x^2-x+1)x}/{(x-1)^3}

For n >= 2, a(n) = 2n^2 - 7n + 8. - Franklin T. Adams-Watters, Sep 16 2006

a(n)=A096376(n-2), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 10 2008]

CROSSREFS

Sequence in context: A116711 A109653 A115520 this_sequence A096376 A112287 A127787

Adjacent sequences: A116732 A116733 A116734 this_sequence A116736 A116737 A116738

KEYWORD

nonn,easy

AUTHOR

Lara Pudwell (Lara.Pudwell(AT)valpo.edu), Feb 26 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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