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A244168 Number of compositions of n in which the minimal multiplicity of parts equals 5.

%I A244168 #4 Jun 21 2014 16:35:01
%S A244168 1,0,0,0,0,1,0,0,0,0,253,462,1254,1287,2794,3256,6117,6980,12319,
%T A244168 13630,22015,25971,38144,43966,64863,828898,2119622,7035420,18918950,
%U A244168 48777982,117594112,259516217,574862404,1204750520,2487540831,5003559312,9935325156
%N A244168 Number of compositions of n in which the minimal multiplicity of parts equals 5.
%H A244168 Alois P. Heinz, <a href="/A244168/b244168.txt">Table of n, a(n) for n = 5..400</a>
%p A244168 b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A244168       add(b(n-i*j, i-1, p+j, k)/j!, j=[0, $max(1, k)..n/i])))
%p A244168     end:
%p A244168 a:= n-> b(n$2, 0, 5) -b(n$2, 0, 6):
%p A244168 seq(a(n), n=5..50);
%Y A244168 Column k=5 of A242451.
%K A244168 nonn
%O A244168 5,11
%A A244168 _Alois P. Heinz_, Jun 21 2014