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A276927
Number of ordered set partitions of [n] with at most seven elements per block.
5
1, 1, 3, 13, 75, 541, 4683, 47293, 545834, 7087242, 102247182, 1622624850, 28091404902, 526854753282, 10641259374174, 230281144233426, 5315601950221992, 130369339178641992, 3385494089758915992, 92800379366660198376, 2677650178353887869704
OFFSET
0,3
LINKS
FORMULA
E.g.f.: 1/(1-Sum_{i=1..7} x^i/i!).
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 *)
CROSSREFS
Column k=7 of A276921.
Cf. A229224.
Sequence in context: A276926 A343790 A276897 * A343791 A276898 A276928
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 22 2016
STATUS
approved