A244166 - OEIS

%I #4 Jun 21 2014 16:08:31

%S 1,0,0,1,0,0,21,35,91,105,211,221,464,441,740,2571,5457,14740,37990,

%T 89091,203487,416751,877183,1722277,3374384,6381902,12054327,22545335,

%U 42054605,78409434,147669414,280480248,539039384,1051964654,2078682442,4165775779

%N Number of compositions of n in which the minimal multiplicity of parts equals 3.

%H Alois P. Heinz, <a href="/A244166/b244166.txt">Table of n, a(n) for n = 3..400</a>

%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, $max(1, k)..n/i])))

%p     end:

%p a:= n-> b(n$2, 0, 3) -b(n$2, 0, 4):

%p seq(a(n), n=3..50);

%Y Column k=3 of A242451.

%K nonn

%O 3,7

%A _Alois P. Heinz_, Jun 21 2014