A261835 -id:A261835 - cp's OEIS frontend

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

Alois P. Heinz, Sep 03 2015

nonn

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

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

Column k=9 of A261835.

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);

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.

Original entry on oeis.org

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

Offset: 0

Alois P. Heinz, Sep 03 2015

nonn

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

Alois P. Heinz, Table of n, a(n) for n = 0..4430

Column k=10 of A261835.

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);

cp's OEIS Frontend

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.

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