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A244719 Number of compositions of n with exactly 7 transitions between different parts.

%I A244719 #5 Jul 06 2014 16:45:53
%S A244719 2,22,136,618,2278,7180,20140,51100,120046,263192,545644,1075414,
%T A244719 2031190,3690972,6485546,11052982,18333194,29664162,46934548,72757550,
%U A244719 110684340,165506866,243561442,353198516,505188930,713484770,995688310,1374225240,1876917926
%N A244719 Number of compositions of n with exactly 7 transitions between different parts.
%H A244719 Alois P. Heinz, <a href="/A244719/b244719.txt">Table of n, a(n) for n = 12..900</a>
%p A244719 b:= proc(n, v) option remember; `if`(n=0, [1, 0$7],
%p A244719       add(`if`(v in [0, i], b(n-i, `if`(i<=n-i, i, -1)),
%p A244719       [0, b(n-i, `if`(i<=n-i, i, -1))[1..7][]]), i=1..n))
%p A244719     end:
%p A244719 a:= n-> b(n, 0)[8]:
%p A244719 seq(a(n), n=12..60);
%Y A244719 Column k=7 of A238279.
%K A244719 nonn
%O A244719 12,1
%A A244719 _Joerg Arndt_ and _Alois P. Heinz_, Jul 04 2014