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

13,1

Links

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

Formula

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

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);

Crossrefs

Column k=6 of A197365.

Sequence in context: A104439 A290035 A289954 * A279946 A031866 A262800

Adjacent sequences: A263887 A263888 A263889 * A263891 A263892 A263893

Keyword

nonn

Author

Alois P. Heinz, Oct 28 2015

Status

approved