login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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