%I #4 Oct 20 2018 17:57:31

%S 1,16,288,5280,101640,2068704,44595408,1017804216,24559319070,

%T 625388375040,16772475939648,472802783660064,13981054231585584,

%U 432866241024085440,14006847775868101440,472893544571144089536,16631451859811919417144,608402197372214335559040

%N Number of ordered set partitions of [n] where the maximal block size equals seven.

%H Alois P. Heinz, <a href="/A320763/b320763.txt">Table of n, a(n) for n = 7..425</a>

%F E.g.f.: 1/(1-Sum_{i=1..7} x^i/i!) - 1/(1-Sum_{i=1..6} x^i/i!).

%F a(n) = A276927(n) - A276926(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))(7):

%p seq(a(n), n=7..25);

%Y Column k=7 of A276922.

%Y Cf. A276926, A276927.

%K nonn

%O 7,2

%A _Alois P. Heinz_, Oct 20 2018