A261848 Number of compositions of n into distinct parts where each part i is marked with a word of length i over a denary alphabet whose letters appear in alphabetical order.

1, 10, 55, 1320, 5115, 40502, 849695, 3005860, 17729140, 101710180, 2427338628, 7149947740, 39019448520, 172243529680, 967216439310, 23628910183516, 63666698290635, 302259439194130, 1206608816442095, 5423457474305640, 25200103664372021, 701550193438735410

Offset: 0

Author

Alois P. Heinz, Sep 03 2015

Keywords

• nonn

Comments

Also matrices with ten rows 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..4430

Crossrefs

Column k=10 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+9, 9))))
    end:
a:= n-> b(n$2, 0):
seq(a(n), n=0..25);