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%I #4 May 29 2014 16:43:56
%S 1,1,2,4,8,16,32,64,128,256,511,1023,2036,4072,8089,16123,31971,63447,
%T 125464,247848,488248,959954,1882518,3682966,7186687,13987505,
%U 27151374,52561888,101473646,195352782,375197136,718154110,1370815210,2611751010,4957566835
%N Number of compositions of n into parts with multiplicity not larger than 9.
%C Number of compositions of n avoiding the pattern {1}^10.
%H Alois P. Heinz, <a href="/A243087/b243087.txt">Table of n, a(n) for n = 0..1000</a>
%p b:= proc(n, i, p) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p add(b(n-i*j, i-1, p+j)/j!, j=0..min(n/i, 9))))
%p end:
%p a:= n-> b(n$2, 0):
%p seq(a(n), n=0..50);
%Y Column k=9 of A243081.
%K nonn
%O 0,3
%A _Alois P. Heinz_, May 29 2014
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