A289421 Number of Dyck paths of semilength n and height exactly 8.

1, 15, 133, 912, 5358, 28405, 140049, 654588, 2937932, 12776589, 54190390, 225253075, 921000186, 3714710824, 14812754293, 58500857880, 229151753951, 891294490555, 3445626506596, 13249653746017, 50712356284429, 193300937950441, 734118443975314, 2778953915499832

Offset: 8

Author

Alois P. Heinz, Jul 06 2017

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 8..1000
• Index entries for linear recurrences with constant coefficients, signature (15,-92,297,-541,553,-296,70,-5).

Crossrefs

Column k=8 of A080936.

Formula

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)).