A261847 Number of compositions of n into distinct parts where each part i is marked with a word of length i over a nonary alphabet whose letters appear in alphabetical order.

1, 9, 45, 975, 3465, 25047, 471669, 1542519, 8361540, 43916950, 934748298, 2560160538, 12924414750, 52656337800, 271075650210, 5853558884496, 14764118156523, 65116959410547, 241547985000289, 1004388404964615, 4276652360222781, 104392134731727315

Offset: 0

Author

Alois P. Heinz, Sep 03 2015

Keywords

• nonn

Comments

Also matrices with two nine of nonnegative integers with distinct positive column sums and total element sum n.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..4921

Crossrefs

Column k=9 of A261835.

Programs

Maple

b:= proc(n, i, p) option remember;
      `if`(i*(i+1)/2n, 0, b(n-i, i-1, p+1)*binomial(i+8, 8))))
    end:
a:= n-> b(n$2, 0):
seq(a(n), n=0..25);