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A243127 Number of compositions of n in which the maximal multiplicity of parts equals 10. 2

%I #5 May 29 2014 18:56:04

%S 1,0,11,11,77,143,495,1133,3058,7271,17777,41591,96767,220473,496661,

%T 1103619,2425929,5276623,11370986,24294028,51316156,108047687,

%U 225688551,466237332,960231624,1967794950,3997987950,8077762209,16258984885,32550495175,64759902032

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

%H Alois P. Heinz, <a href="/A243127/b243127.txt">Table of n, a(n) for n = 10..1000</a>

%F a(n) = A243088(n) - A243087(n) = A243081(n,10) - A243081(n,9).

%p b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,

%p add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))

%p end:

%p a:= n-> b(n$2, 0, 10) -b(n$2, 0, 9):

%p seq(a(n), n=10..50);

%Y Column k=10 of A242447.

%K nonn

%O 10,3

%A _Alois P. Heinz_, May 29 2014

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Last modified April 23 11:35 EDT 2024. Contains 371912 sequences. (Running on oeis4.)