A258495 Number of words of length 2n such that all letters of the octonary alphabet occur at least once and are introduced in ascending order and which can be built by repeatedly inserting doublets into the initially empty word.

1430, 143208, 8488440, 389948856, 15390120042, 549818906780, 18329867191350, 581350326663600, 17769492060922914, 528200606751594392, 15368894406877386408, 439845149792754810984, 12426477142114470011642, 347532158068343623121916, 9642227504194296532321086

Offset: 8

Author

Alois P. Heinz, May 31 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 8..650

Crossrefs

Column k=8 of A256117.

Programs

Maple

A:= proc(n, k) option remember; `if`(n=0, 1, k/n*
      add(binomial(2*n, j)*(n-j)*(k-1)^j, j=0..n-1))
    end:
T:= (n, k)-> add((-1)^i*A(n, k-i)/(i!*(k-i)!), i=0..k):
a:= n-> T(n, 8):
seq(a(n), n=8..25);

Formula

a(n) ~ 28^n / (25920*sqrt(Pi)*n^(3/2)). - Vaclav Kotesovec, Jun 01 2015