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

10395, 3012480, 277327917, 16406489088, 763149164940, 30667267344384, 1122292869796980, 38645459934584832, 1279503424901535750, 41344577034084495360, 1317786118947932739210, 41752272883943166935040, 1322547105675938413149900, 42063243395064705257472000

Offset: 13

Author

Alois P. Heinz, Oct 28 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 13..100

Crossrefs

Column k=6 of A197365.

Programs

Maple

b:= proc(u, o, t) option remember; series(`if`(u+o=0, 1,
      add(b(u-j, o+j-1, 0)*`if`(j<=t, x, 1), j=1..u)+
      add(b(u+j-1, o-j, j-1), j=1..o)), x, 7)
    end:
a:= n-> coeff(b(n, 0$2), x, 6):
seq(a(n), n=13..35);

Formula

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