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A244722 Number of compositions of n with exactly 10 transitions between different parts.

%I A244722 #5 Jul 06 2014 16:31:18
%S A244722 1,12,106,677,3494,15072,56687,189836,578105,1621690,4241828,10434473,
%T A244722 24323694,54053172,115100757,235866109,466850629,895363599,1668452274,
%U A244722 3028132617,5364010992,9291348726,15763537852,26234025046,42882816586,68933785785,109087903602
%N A244722 Number of compositions of n with exactly 10 transitions between different parts.
%H A244722 Alois P. Heinz, <a href="/A244722/b244722.txt">Table of n, a(n) for n = 16..900</a>
%p A244722 b:= proc(n, v) option remember; `if`(n=0, [1, 0$10],
%p A244722       add(`if`(v in [0, i], b(n-i, `if`(i<=n-i, i, -1)),
%p A244722       [0, b(n-i, `if`(i<=n-i, i, -1))[1..10][]]), i=1..n))
%p A244722     end:
%p A244722 a:= n-> b(n, 0)[11]:
%p A244722 seq(a(n), n=16..60);
%Y A244722 Column k=10 of A238279.
%K A244722 nonn
%O A244722 16,2
%A A244722 _Joerg Arndt_ and _Alois P. Heinz_, Jul 04 2014