A276927 Number of ordered set partitions of [n] with at most seven elements per block.

1, 1, 3, 13, 75, 541, 4683, 47293, 545834, 7087242, 102247182, 1622624850, 28091404902, 526854753282, 10641259374174, 230281144233426, 5315601950221992, 130369339178641992, 3385494089758915992, 92800379366660198376, 2677650178353887869704

Offset: 0

Author

Alois P. Heinz, Sep 22 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..424

Crossrefs

Column k=7 of A276921.

Cf. A229224.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1, add(
       a(n-i)*binomial(n, i), i=1..min(n, 7)))
    end:
seq(a(n), n=0..25);

Mathematica

max = 25; CoefficientList[1/(1-Sum[x^i/i!, {i, 1, 7}]) + O[x]^(max+1), x]* Range[0, max]! (* Jean-François Alcover, May 24 2018 *)

Formula

E.g.f.: 1/(1-Sum_{i=1..7} x^i/i!).