cp's OEIS Frontend

A243122 Number of compositions of n in which the maximal multiplicity of parts equals 5.

%I A243122 #6 May 29 2014 18:49:37
%S A243122 1,0,6,6,27,49,131,279,635,1370,2722,5877,12170,24113,47660,94470,
%T A243122 186623,355400,680074,1296600,2456115,4535638,8495447,15570655,
%U A243122 28505689,52054671,94229227,169184891,301060621,540575365,956101463,1682865787,2936425870,5167830927
%N A243122 Number of compositions of n in which the maximal multiplicity of parts equals 5.
%H A243122 Alois P. Heinz, <a href="/A243122/b243122.txt">Table of n, a(n) for n = 5..1000</a>
%F A243122 a(n) = A243083(n) - A243082(n) = A243081(n,5) - A243081(n,4).
%p A243122 b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A243122       add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))
%p A243122     end:
%p A243122 a:= n-> b(n$2, 0, 5) -b(n$2, 0, 4):
%p A243122 seq(a(n), n=5..50);
%Y A243122 Column k=5 of A242447.
%K A243122 nonn
%O A243122 5,3
%A A243122 _Alois P. Heinz_, May 29 2014