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A276927 Number of ordered set partitions of [n] with at most seven elements per block.

%I A276927 #10 May 24 2018 12:13:03
%S A276927 1,1,3,13,75,541,4683,47293,545834,7087242,102247182,1622624850,
%T A276927 28091404902,526854753282,10641259374174,230281144233426,
%U A276927 5315601950221992,130369339178641992,3385494089758915992,92800379366660198376,2677650178353887869704
%N A276927 Number of ordered set partitions of [n] with at most seven elements per block.
%H A276927 Alois P. Heinz, <a href="/A276927/b276927.txt">Table of n, a(n) for n = 0..424</a>
%F A276927 E.g.f.: 1/(1-Sum_{i=1..7} x^i/i!).
%p A276927 a:= proc(n) option remember; `if`(n=0, 1, add(
%p A276927        a(n-i)*binomial(n, i), i=1..min(n, 7)))
%p A276927     end:
%p A276927 seq(a(n), n=0..25);
%t A276927 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 *)
%Y A276927 Column k=7 of A276921.
%Y A276927 Cf. A229224.
%K A276927 nonn
%O A276927 0,3
%A A276927 _Alois P. Heinz_, Sep 22 2016