cp's OEIS Frontend

A320762 Number of ordered set partitions of [n] where the maximal block size equals six.

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