%I #9 Nov 08 2017 10:00:35
%S 1,2,6,21,76,263,843,2501,6941,18245,45928,111721,264482,612707,
%T 1394929,3131269,6948043,15269985,33290710,72085673,155182152,
%U 332387343,708820807,1505731877,3187639497,6727621949,14159916404,29729158217
%N Number of permutations of length n which avoid the patterns 1234, 4123, 4132.
%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 183.
%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_08">Index entries for linear recurrences with constant coefficients</a>, signature (10,-43,104,-155,146,-85,28,-4).
%F G.f.: A(x) = -{x(3x^7-20x^6+54x^5-71x^4+57x^3-29x^2+8x-1)}/{(2x-1)^2(x-1)^6}
%K nonn,easy
%O 1,2
%A _Lara Pudwell_, Feb 26 2006