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%I #5 Jul 06 2017 10:28:42
%S 1,15,133,912,5358,28405,140049,654588,2937932,12776589,54190390,
%T 225253075,921000186,3714710824,14812754293,58500857880,229151753951,
%U 891294490555,3445626506596,13249653746017,50712356284429,193300937950441,734118443975314,2778953915499832
%N Number of Dyck paths of semilength n and height exactly 8.
%H Alois P. Heinz, <a href="/A289421/b289421.txt">Table of n, a(n) for n = 8..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (15,-92,297,-541,553,-296,70,-5).
%F G.f.: x^8/((x-1)*(x^2-3*x+1)*(5*x^2-5*x+1)*(x^3-9*x^2+6*x-1)).
%Y Column k=8 of A080936.
%K nonn
%O 8,2
%A _Alois P. Heinz_, Jul 06 2017