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A116846 Number of permutations of length n which avoid the patterns 321, 12354. 0
1, 2, 5, 14, 41, 113, 277, 607, 1212, 2245, 3913, 6488, 10319, 15845, 23609, 34273, 48634, 67641, 92413, 124258, 164693, 215465, 278573, 356291, 451192, 566173, 704481, 869740, 1065979, 1297661 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Lara Pudwell, Systematic Studies in Pattern Avoidance, 2005.

FORMULA

G.f.: A(x) = {x(x^8-4x^7+3x^6+6x^5-13x^4+14x^3-12x^2+5x-1)}/{(x-1)^7}

For n >= 3, a(n) = (n^6 + 9n^5 - 5n^4 - 405n^3 + 1804n^2 - 684n - 2160)/720. - Franklin T. Adams-Watters, Sep 16 2006

CROSSREFS

Sequence in context: A007463 A159308 A163189 * A080558 A116844 A116851

Adjacent sequences:  A116843 A116844 A116845 * A116847 A116848 A116849

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 13 12:58 EST 2012. Contains 205482 sequences.