cp's OEIS Frontend

A241700 Number of Carlitz compositions of n with exactly ten descents.

%I A241700 #6 Apr 28 2014 09:19:10
%S A241700 89,874,5176,23882,93525,324959,1029660,3029025,8377958,21992465,
%T A241700 55185174,133116640,310082552,700123670,1536990597,3289297465,
%U A241700 6877652389,14077255217,28252887221,55681517610,107900601488,205825555915,386884938126,717249234951
%N A241700 Number of Carlitz compositions of n with exactly ten descents.
%C A241700 No two adjacent parts of a Carlitz composition are equal.
%H A241700 Alois P. Heinz, <a href="/A241700/b241700.txt">Table of n, a(n) for n = 30..1000</a>
%p A241700 b:= proc(n, i) option remember; `if`(n=0, 1,
%p A241700        convert(series(add(`if`(i=j, 0, b(n-j, j)*
%p A241700       `if`(j<i, x, 1)), j=1..n), x, 11), polynom))
%p A241700     end:
%p A241700 a:= n-> coeff(b(n, 0), x, 10):
%p A241700 seq(a(n), n=30..55);
%Y A241700 Column k=10 of A241701.
%K A241700 nonn
%O A241700 30,1
%A A241700 _Alois P. Heinz_, Apr 27 2014