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A276929
Number of ordered set partitions of [n] with at most nine elements per block.
5
1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261, 102247562, 1622632550, 28091567042, 526858335146, 10641342645362, 230283182692706, 5315654461874042, 130370760923004602, 3385534486308684710, 92801581965119911026, 2677687627216659136794
OFFSET
0,3
LINKS
FORMULA
E.g.f.: 1/(1-Sum_{i=1..9} x^i/i!).
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, add(
a(n-i)*binomial(n, i), i=1..min(n, 9)))
end:
seq(a(n), n=0..25);
MATHEMATICA
max = 25; CoefficientList[1/(1-Sum[x^i/i!, {i, 1, 9}]) + O[x]^(max+1), x]* Range[0, max]! (* Jean-François Alcover, May 24 2018 *)
CROSSREFS
Column k=9 of A276921.
Cf. A229226.
Sequence in context: A276928 A343792 A276899 * A343793 A276900 A276930
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 22 2016
STATUS
approved