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%I #7 Jul 07 2017 06:22:54
%S 1,2,6,21,74,253,840,2728,8719,27541,86221,268047,828661,2550116,
%T 7818174,23893803,72831350,221504503,672394824,2037817846,6167472211,
%U 18643839127,56301766021,169874621301,512161584769,1543128593438
%N Number of permutations of length n which avoid the patterns 2314, 3142, 4312.
%H Lara Pudwell, <a href="http://faculty.valpo.edu/lpudwell/maple/webbook/bookmain.html">Systematic Studies in Pattern Avoidance</a>, 2005.
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (9,-31,52,-45,19,-3)
%F G.f.: A(x) = -{(3x^5-12x^4+23x^3-19x^2+7x-1)x}/{(x-1)^3(x^2-3x+1)(3x-1)}
%K nonn,easy
%O 1,2
%A _Lara Pudwell_, Feb 26 2006