cp's OEIS Frontend

A241698 Number of Carlitz compositions of n with exactly eight descents.

%I A241698 #6 Apr 28 2014 09:22:54
%S A241698 34,273,1374,5523,19085,59043,167822,445485,1117320,2671007,6126303,
%T A241698 13552203,29036088,60461206,122706950,243312768,472343731,899329583,
%U A241698 1681962056,3094108766,5605224314,10010276920,17640174861,30699341690,52802429497,89820432080
%N A241698 Number of Carlitz compositions of n with exactly eight descents.
%C A241698 No two adjacent parts of a Carlitz composition are equal.
%H A241698 Alois P. Heinz, <a href="/A241698/b241698.txt">Table of n, a(n) for n = 24..1000</a>
%p A241698 b:= proc(n, i) option remember; `if`(n=0, 1,
%p A241698        convert(series(add(`if`(i=j, 0, b(n-j, j)*
%p A241698       `if`(j<i, x, 1)), j=1..n), x, 9), polynom))
%p A241698     end:
%p A241698 a:= n-> coeff(b(n, 0), x, 8):
%p A241698 seq(a(n), n=24..50);
%Y A241698 Column k=8 of A241701.
%K A241698 nonn
%O A241698 24,1
%A A241698 _Alois P. Heinz_, Apr 27 2014