Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #6 Apr 28 2014 09:22:54
%S 34,273,1374,5523,19085,59043,167822,445485,1117320,2671007,6126303,
%T 13552203,29036088,60461206,122706950,243312768,472343731,899329583,
%U 1681962056,3094108766,5605224314,10010276920,17640174861,30699341690,52802429497,89820432080
%N Number of Carlitz compositions of n with exactly eight descents.
%C No two adjacent parts of a Carlitz composition are equal.
%H Alois P. Heinz, <a href="/A241698/b241698.txt">Table of n, a(n) for n = 24..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, 9), polynom))
%p end:
%p a:= n-> coeff(b(n, 0), x, 8):
%p seq(a(n), n=24..50);
%Y Column k=8 of A241701.
%K nonn
%O 24,1
%A _Alois P. Heinz_, Apr 27 2014