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A243088 Number of compositions of n into parts with multiplicity not larger than 10.

%I A243088 #4 May 29 2014 16:42:32
%S A243088 1,1,2,4,8,16,32,64,128,256,512,1023,2047,4083,8166,16266,32466,64580,
%T A243088 128522,255119,506025,1001545,1979285,3903439,7683348,15091124,
%U A243088 29577303,57838511,112844632,219646810,426513292,826201797,1596503761,3077988342,5917798459
%N A243088 Number of compositions of n into parts with multiplicity not larger than 10.
%C A243088 Number of compositions of n avoiding the pattern {1}^11.
%H A243088 Alois P. Heinz, <a href="/A243088/b243088.txt">Table of n, a(n) for n = 0..1000</a>
%p A243088 b:= proc(n, i, p) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A243088       add(b(n-i*j, i-1, p+j)/j!, j=0..min(n/i, 10))))
%p A243088     end:
%p A243088 a:= n-> b(n$2, 0):
%p A243088 seq(a(n), n=0..50);
%Y A243088 Column k=10 of A243081.
%K A243088 nonn
%O A243088 0,3
%A A243088 _Alois P. Heinz_, May 29 2014