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A243127 Number of compositions of n in which the maximal multiplicity of parts equals 10.

%I A243127 #5 May 29 2014 18:56:04
%S A243127 1,0,11,11,77,143,495,1133,3058,7271,17777,41591,96767,220473,496661,
%T A243127 1103619,2425929,5276623,11370986,24294028,51316156,108047687,
%U A243127 225688551,466237332,960231624,1967794950,3997987950,8077762209,16258984885,32550495175,64759902032
%N A243127 Number of compositions of n in which the maximal multiplicity of parts equals 10.
%H A243127 Alois P. Heinz, <a href="/A243127/b243127.txt">Table of n, a(n) for n = 10..1000</a>
%F A243127 a(n) = A243088(n) - A243087(n) = A243081(n,10) - A243081(n,9).
%p A243127 b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A243127       add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))
%p A243127     end:
%p A243127 a:= n-> b(n$2, 0, 10) -b(n$2, 0, 9):
%p A243127 seq(a(n), n=10..50);
%Y A243127 Column k=10 of A242447.
%K A243127 nonn
%O A243127 10,3
%A A243127 _Alois P. Heinz_, May 29 2014