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A263890 Number of permutations of [n] containing exactly six occurrences of the consecutive pattern 132. 2

%I

%S 10395,3012480,277327917,16406489088,763149164940,30667267344384,

%T 1122292869796980,38645459934584832,1279503424901535750,

%U 41344577034084495360,1317786118947932739210,41752272883943166935040,1322547105675938413149900,42063243395064705257472000

%N Number of permutations of [n] containing exactly six occurrences of the consecutive pattern 132.

%H Alois P. Heinz, <a href="/A263890/b263890.txt">Table of n, a(n) for n = 13..100</a>

%F a(n) = A197365(n,6).

%p b:= proc(u, o, t) option remember; series(`if`(u+o=0, 1,

%p add(b(u-j, o+j-1, 0)*`if`(j<=t, x, 1), j=1..u)+

%p add(b(u+j-1, o-j, j-1), j=1..o)), x, 7)

%p end:

%p a:= n-> coeff(b(n, 0$2), x, 6):

%p seq(a(n), n=13..35);

%Y Column k=6 of A197365.

%K nonn

%O 13,1

%A _Alois P. Heinz_, Oct 28 2015

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Last modified August 5 13:21 EDT 2021. Contains 346469 sequences. (Running on oeis4.)