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%I #9 Nov 08 2017 08:56:10
%S 1,2,6,21,73,244,782,2415,7232,21122,60455,170228,473014,1300271,
%T 3543000,9584730,25776439,68985676,183892142,488588991,1294654352,
%U 3422964722,9033615431,23805283556,62654864998,164741271119
%N Number of permutations of length n which avoid the patterns 2314, 3241, 4312.
%H D. Callan, T. Mansour, <a href="http://arxiv.org/abs/1705.00933">Enumeration of small Wilf classes avoiding 1324 and two other 4-letter patterns</a>, arXiv:1705.00933 [math.CO] (2017), Table 2 No 104.
%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 (10,-40,81,-86,44,-8).
%F G.f.: A(x) = -{(3x^6+4x^5-27x^4+40x^3-26x^2+8x-1)x}/{(2x-1)^3(x-1)(x^2-3x+1)}
%K nonn,easy
%O 1,2
%A _Lara Pudwell_, Feb 26 2006