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%I #7 Jul 07 2017 06:35:44
%S 1,2,6,21,75,265,929,3249,11362,39746,139060,486549,1702349,5956172,
%T 20839367,72912441,255104933,892557394,3122866871,10926241348,
%U 38228574601,133753581322,467975086412,1637344431204,5728716901208
%N Number of permutations of length n which avoid the patterns 2314, 2431, 3124.
%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_05">Index entries for linear recurrences with constant coefficients</a>, signature (6,-12,13,-6,1)
%F G.f.: A(x) = -{x(x-1)^4}/{x^5-6x^4+13x^3-12x^2+6x-1}
%K nonn,easy
%O 1,2
%A _Lara Pudwell_, Feb 26 2006