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Search: id:A116716
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A116716 Number of permutations of length n which avoid the patterns 321, 2341, 4123. +0
1
1, 2, 5, 12, 26, 58, 131, 295, 662, 1487, 3342, 7510, 16874, 37915, 85195, 191432, 430143, 966522, 2171756, 4879892, 10965017, 24638169, 55361464, 124396081, 279515456, 628065528, 1411250432, 3171050937, 7125286777, 16010374058 (list; graph; listen)
OFFSET

1,2

LINKS

Lara Pudwell, Systematic Studies in Pattern Avoidance, 2005.

FORMULA

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

CROSSREFS

Sequence in context: A125180 A073778 A033490 this_sequence A128812 A078410 A096766

Adjacent sequences: A116713 A116714 A116715 this_sequence A116717 A116718 A116719

KEYWORD

nonn,easy

AUTHOR

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

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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