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A264465 Number of permutations of [n] with exactly six (possibly overlapping) occurrences of the generalized pattern 23-1. 2

%I #7 Nov 14 2015 16:49:33

%S 11,240,3328,36774,377610,3775281,37545239,375714151,3808210872,

%T 39250117725,412320359485,4420852570619,48416817503118,

%U 541846406216437,6197311080340307,72436698579083259,865110836456018947,10554489471399030408,131500190867301682844

%N Number of permutations of [n] with exactly six (possibly overlapping) occurrences of the generalized pattern 23-1.

%H Alois P. Heinz, <a href="/A264465/b264465.txt">Table of n, a(n) for n = 6..500</a>

%e a(6) = 11: 345612, 345621, 356241, 456123, 456132, 456213, 456312, 456321, 562341, 563412, 563421.

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

%p b(u-j, o+j-1), j=1..u) +add(convert(series(

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

%p end:

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

%p seq(a(n), n=6..25);

%Y Column k=6 of A260670.

%K nonn

%O 6,1

%A _Alois P. Heinz_, Nov 14 2015

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Last modified April 25 13:41 EDT 2024. Contains 371970 sequences. (Running on oeis4.)