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A244720 Number of compositions of n with exactly 8 transitions between different parts.

%I A244720 #5 Jul 06 2014 16:34:08
%S A244720 1,10,77,415,1825,6692,21587,62225,164197,401173,919007,1989942,
%T A244720 4102426,8100013,15388485,28249241,50273708,87007800,146783168,
%U A244720 241958083,390411308,617752456,959909294,1466853260,2206861654,3272535062,4787597429,6916184121,9873403733
%N A244720 Number of compositions of n with exactly 8 transitions between different parts.
%H A244720 Alois P. Heinz, <a href="/A244720/b244720.txt">Table of n, a(n) for n = 13..900</a>
%p A244720 b:= proc(n, v) option remember; `if`(n=0, [1, 0$8],
%p A244720       add(`if`(v in [0, i], b(n-i, `if`(i<=n-i, i, -1)),
%p A244720       [0, b(n-i, `if`(i<=n-i, i, -1))[1..8][]]), i=1..n))
%p A244720     end:
%p A244720 a:= n-> b(n, 0)[9]:
%p A244720 seq(a(n), n=13..60);
%Y A244720 Column k=8 of A238279.
%K A244720 nonn
%O A244720 13,2
%A A244720 _Joerg Arndt_ and _Alois P. Heinz_, Jul 04 2014