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A276928
Number of ordered set partitions of [n] with at most eight elements per block.
5
1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087260, 102247542, 1622632110, 28091557362, 526858114926, 10641337416138, 230283052622766, 5315651069181882, 130370668142722722, 3385531828379161890, 92801502294634265418, 2677685131818279016434
OFFSET
0,3
LINKS
FORMULA
E.g.f.: 1/(1-Sum_{i=1..8} x^i/i!).
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, add(
a(n-i)*binomial(n, i), i=1..min(n, 8)))
end:
seq(a(n), n=0..25);
MATHEMATICA
max = 25; CoefficientList[1/(1-Sum[x^i/i!, {i, 1, 8}]) + O[x]^(max+1), x]* Range[0, max]! (* Jean-François Alcover, May 24 2018 *)
CROSSREFS
Column k=8 of A276921.
Cf. A229225.
Sequence in context: A276927 A343791 A276898 * A343792 A276899 A276929
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 22 2016
STATUS
approved