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A263889 Number of permutations of [n] containing exactly five occurrences of the consecutive pattern 132.

%I A263889 #5 Oct 30 2015 22:13:14
%S A263889 945,140160,8451954,354288384,12220104063,375886190592,10790720535960,
%T A263889 297346489233408,8010916259737230,213667262746914816,
%U A263889 5691371451612082740,152338392950319636480,4115775817227930936570,112602904310385883054080,3126998971137511212293880
%N A263889 Number of permutations of [n] containing exactly five occurrences of the consecutive pattern 132.
%H A263889 Alois P. Heinz, <a href="/A263889/b263889.txt">Table of n, a(n) for n = 11..100</a>
%F A263889 a(n) = A197365(n,5).
%p A263889 b:= proc(u, o, t) option remember; series(`if`(u+o=0, 1,
%p A263889       add(b(u-j, o+j-1, 0)*`if`(j<=t, x, 1), j=1..u)+
%p A263889       add(b(u+j-1, o-j, j-1), j=1..o)), x, 6)
%p A263889     end:
%p A263889 a:= n-> coeff(b(n, 0$2), x, 5):
%p A263889 seq(a(n), n=11..35);
%Y A263889 Column k=5 of A197365.
%K A263889 nonn
%O A263889 11,1
%A A263889 _Alois P. Heinz_, Oct 28 2015