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%I #4 Oct 20 2018 17:53:30
%S 1,14,224,3696,64680,1206744,24011988,508864356,11459682234,
%T 273563089800,6904861371408,183819838041840,5149305370473264,
%U 151447801937560128,4666989813249123360,150394712706368466336,5059062167993588722968,177346570951333803395376
%N Number of ordered set partitions of [n] where the maximal block size equals six.
%H Alois P. Heinz, <a href="/A320762/b320762.txt">Table of n, a(n) for n = 6..424</a>
%F E.g.f.: 1/(1-Sum_{i=1..6} x^i/i!) - 1/(1-Sum_{i=1..5} x^i/i!).
%F a(n) = A276926(n) - A276925(n).
%p b:= proc(n, k) option remember; `if`(n=0, 1, add(
%p b(n-i, k)*binomial(n, i), i=1..min(n, k)))
%p end:
%p a:= n-> (k-> b(n, k) -b(n, k-1))(6):
%p seq(a(n), n=6..25);
%Y Column k=6 of A276922.
%Y Cf. A276925, A276926.
%K nonn
%O 6,2
%A _Alois P. Heinz_, Oct 20 2018
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