A276926 Number of ordered set partitions of [n] with at most six elements per block.

1, 1, 3, 13, 75, 541, 4683, 47292, 545818, 7086954, 102241902, 1622523210, 28089336198, 526810157874, 10640241569958, 230256584914356, 5314976561846952, 130352566702702344, 3385021286975255928, 92786398312428612792, 2677217312112863784264

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=6 of A276921.

Cf. A148092.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1, add(
       a(n-i)*binomial(n, i), i=1..min(n, 6)))
    end:
seq(a(n), n=0..25);

Mathematica

max = 25; CoefficientList[1/(1-Sum[x^i/i!, {i, 1, 6}]) + O[x]^(max+1), x]* Range[0, max]! (* Jean-François Alcover, May 24 2018 *)

Formula

E.g.f.: 1/(1-Sum_{i=1..6} x^i/i!).