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A243123 Number of compositions of n in which the maximal multiplicity of parts equals 6.

%I A243123 #6 May 29 2014 18:50:29
%S A243123 1,0,7,7,35,63,176,378,889,1946,4298,9282,18999,40565,84371,169372,
%T A243123 340683,684957,1359758,2650942,5142116,10008642,19123713,36370362,
%U A243123 68799767,129920385,241668105,450604609,830903577,1529103100,2800280316,5100363926,9233845628
%N A243123 Number of compositions of n in which the maximal multiplicity of parts equals 6.
%H A243123 Alois P. Heinz, <a href="/A243123/b243123.txt">Table of n, a(n) for n = 6..1000</a>
%F A243123 a(n) = A243084(n) - A243083(n) = A243081(n,6) - A243081(n,5).
%p A243123 b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A243123       add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))
%p A243123     end:
%p A243123 a:= n-> b(n$2, 0, 6) -b(n$2, 0, 5):
%p A243123 seq(a(n), n=6..50);
%Y A243123 Column k=6 of A242447.
%K A243123 nonn
%O A243123 6,3
%A A243123 _Alois P. Heinz_, May 29 2014