A241700 - OEIS

%I #6 Apr 28 2014 09:19:10

%S 89,874,5176,23882,93525,324959,1029660,3029025,8377958,21992465,

%T 55185174,133116640,310082552,700123670,1536990597,3289297465,

%U 6877652389,14077255217,28252887221,55681517610,107900601488,205825555915,386884938126,717249234951

%N Number of Carlitz compositions of n with exactly ten descents.

%C No two adjacent parts of a Carlitz composition are equal.

%H Alois P. Heinz, <a href="/A241700/b241700.txt">Table of n, a(n) for n = 30..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, 11), polynom))

%p     end:

%p a:= n-> coeff(b(n, 0), x, 10):

%p seq(a(n), n=30..55);

%Y Column k=10 of A241701.

%K nonn

%O 30,1

%A _Alois P. Heinz_, Apr 27 2014