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A244167 Number of compositions of n in which the minimal multiplicity of parts equals 4.

%I A244167 #4 Jun 21 2014 16:31:25
%S A244167 1,0,0,0,1,0,0,0,71,126,336,330,776,841,1541,1821,2951,3221,5322,5697,
%T A244167 43288,99626,313917,807218,2049995,4769054,10240287,22002219,45015647,
%U A244167 90239153,177239582,342276724,650127448,1223160912,2275920969,4197371497,7754873919
%N A244167 Number of compositions of n in which the minimal multiplicity of parts equals 4.
%H A244167 Alois P. Heinz, <a href="/A244167/b244167.txt">Table of n, a(n) for n = 4..400</a>
%p A244167 b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
%p A244167       add(b(n-i*j, i-1, p+j, k)/j!, j=[0, $max(1, k)..n/i])))
%p A244167     end:
%p A244167 a:= n-> b(n$2, 0, 4) -b(n$2, 0, 5):
%p A244167 seq(a(n), n=4..50);
%Y A244167 Column k=4 of A242451.
%K A244167 nonn
%O A244167 4,9
%A A244167 _Alois P. Heinz_, Jun 21 2014