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A244170 Number of compositions of n in which the minimal multiplicity of parts equals 7.

%I A244170 #4 Jun 21 2014 16:52:33
%S A244170 1,0,0,0,0,0,0,1,0,0,0,0,0,0,3433,6435,17875,19448,43264,50388,96968,
%T A244170 119713,208803,256597,422375,512524,785708,976990,1423465,1737759,
%U A244170 2488824,3001562,4141412,5012060,6722158,407104665,1108110431,3914660472,10999975393
%N A244170 Number of compositions of n in which the minimal multiplicity of parts equals 7.
%H A244170 Alois P. Heinz, <a href="/A244170/b244170.txt">Table of n, a(n) for n = 7..400</a>
%p A244170 b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A244170       add(b(n-i*j, i-1, p+j, k)/j!, j=[0, $max(1, k)..n/i])))
%p A244170     end:
%p A244170 a:= n-> b(n$2, 0, 7) -b(n$2, 0, 8):
%p A244170 seq(a(n), n=7..55);
%Y A244170 Column k=7 of A242451.
%K A244170 nonn
%O A244170 7,15
%A A244170 _Alois P. Heinz_, Jun 21 2014