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%I #6 Apr 28 2014 09:21:18
%S 55,491,2689,11608,42795,140589,422681,1183166,3121247,7830626,
%T 18812643,43515886,97340687,211323653,446587109,921008294,1857606992,
%U 3670974168,7119426996,13569286673,25448188412,47013582854,85641353036,153964392218,273387455379
%N Number of Carlitz compositions of n with exactly nine descents.
%C No two adjacent parts of a Carlitz composition are equal.
%H Alois P. Heinz, <a href="/A241699/b241699.txt">Table of n, a(n) for n = 27..1000</a>
%p b:= proc(n, i) option remember; `if`(n=0, 1,
%p convert(series(add(`if`(i=j, 0, b(n-j, j)*
%p `if`(j<i, x, 1)), j=1..n), x, 10), polynom))
%p end:
%p a:= n-> coeff(b(n, 0), x, 9):
%p seq(a(n), n=27..55);
%Y Column k=9 of A241701.
%K nonn
%O 27,1
%A _Alois P. Heinz_, Apr 27 2014
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