%I
%S 11,59,359,1799,7091,22995,64143,159093,359348,752180,1478204,2754752,
%T 4906202,8402522,13907394,22337388,34933761,53348561,79746821,
%U 116926733,168459797,238853045,333735545,460071495,626402322,843120306,1122776354
%N a(n) = number of permutations of (1,2,...,n) producible by an ordered quadruple of distinct transpositions.
%H Colin Barker, <a href="/A253207/b253207.txt">Table of n, a(n) for n = 4..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,36,84,126,126,84,36,9,1).
%F a(n) = n!*(1/(384*(n8)!)+1/(24*(n7)!)+13/(72*(n6)!)+1/(5*(n5)!)+1/(8*(n4)!)+1/(3*(n3)!)) for n>=8.
%o (PARI) Vec(x^4*(2*x^818*x^7+72*x^6168*x^5+254*x^4232*x^3+224*x^240*x+11)/(x1)^9 + O(x^100)) \\ _Colin Barker_, Dec 30 2014
%Y Cf. A000914, for two transpositions, and A253171, for three.
%K nonn,easy
%O 4,1
%A _Andrew Woods_, Dec 28 2014
