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A243126 Number of compositions of n in which the maximal multiplicity of parts equals 9.

%I A243126 #5 May 29 2014 18:54:09
%S A243126 1,0,10,10,65,120,395,890,2320,5401,12857,29435,66955,149455,330042,
%T A243126 719882,1554760,3326365,7009606,14772370,30835912,63443345,130298990,
%U A243126 266321547,538824877,1082905293,2168501310,4319287751,8538816117,16795672263,32926171923
%N A243126 Number of compositions of n in which the maximal multiplicity of parts equals 9.
%H A243126 Alois P. Heinz, <a href="/A243126/b243126.txt">Table of n, a(n) for n = 9..1000</a>
%F A243126 a(n) = A243087(n) - A243086(n) = A243081(n,9) - A243081(n,8).
%p A243126 b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A243126       add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))
%p A243126     end:
%p A243126 a:= n-> b(n$2, 0, 9) -b(n$2, 0, 8):
%p A243126 seq(a(n), n=9..50);
%Y A243126 Column k=9 of A242447.
%K A243126 nonn
%O A243126 9,3
%A A243126 _Alois P. Heinz_, May 29 2014