A116714 - OEIS

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A116714

Number of permutations of length n that avoid the patterns 321, 1342, 4123.

1, 1, 2, 5, 12, 24, 46, 87, 162, 300, 554, 1021, 1880, 3460, 6366, 11711, 21542, 39624, 72882, 134053, 246564, 453504, 834126, 1534199, 2821834, 5190164, 9546202, 17558205, 32294576, 59398988, 109251774, 200945343, 369596110, 679793232, 1250334690, 2299724037

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Paolo Xausa, Table of n, a(n) for n = 0..1000

Lara Pudwell, Systematic Studies in Pattern Avoidance, 2005.

Index entries for linear recurrences with constant coefficients, signature (2,0,0,-1).

FORMULA

G.f.: (x^5 + 3*x^4 + x^3 - x+1)/((x-1)*(x^3 + x^2 + x - 1)).

MAPLE

A116714 := proc(n)

if n = 1 then