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A243088 Number of compositions of n into parts with multiplicity not larger than 10. 3

%I #4 May 29 2014 16:42:32

%S 1,1,2,4,8,16,32,64,128,256,512,1023,2047,4083,8166,16266,32466,64580,

%T 128522,255119,506025,1001545,1979285,3903439,7683348,15091124,

%U 29577303,57838511,112844632,219646810,426513292,826201797,1596503761,3077988342,5917798459

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

%C Number of compositions of n avoiding the pattern {1}^11.

%H Alois P. Heinz, <a href="/A243088/b243088.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, 10))))

%p end:

%p a:= n-> b(n$2, 0):

%p seq(a(n), n=0..50);

%Y Column k=10 of A243081.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 29 2014

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Last modified May 21 03:54 EDT 2024. Contains 372720 sequences. (Running on oeis4.)