A320766 Number of ordered set partitions of [n] where the maximal block size equals ten.

1, 22, 528, 12584, 308308, 7843836, 208111904, 5767576672, 167004507384, 5050066185736, 159340977018652, 5240336900883084, 179428070995076904, 6388579669849124748, 236257342145458744968, 9064169856705631376280, 360365153529146965326270

Offset

10,2

Links

Alois P. Heinz, Table of n, a(n) for n = 10..426

Formula

E.g.f.: 1/(1-Sum_{i=1..10} x^i/i!) - 1/(1-Sum_{i=1..9} x^i/i!).

a(n) = A276930(n) - A276929(n).

Maple

b:= proc(n, k) option remember; `if`(n=0, 1, add(
      b(n-i, k)*binomial(n, i), i=1..min(n, k)))
    end:
a:= n-> (k-> b(n, k) -b(n, k-1))(10):
seq(a(n), n=10..30);

Crossrefs

Column k=10 of A276922.

Cf. A276929, A276930.

Sequence in context: A253777 A266884 A182610 * A203456 A271266 A333899

Adjacent sequences: A320763 A320764 A320765 * A320767 A320768 A320769

Keyword

nonn

Author

Alois P. Heinz, Oct 20 2018

Status

approved