cp's OEIS Frontend

A292693 Sum over all Dyck paths of semilength n of products over all peaks p of (x_p+n*y_p)/y_p, where x_p and y_p are the coordinates of peak p.

%I A292693 #8 Jul 19 2021 05:58:53
%S A292693 1,2,18,268,5500,143046,4491340,164927288,6926613912,327225762250,
%T A292693 17166979868764,989951268341124,62226648527948008,4234070369464440974,
%U A292693 310027061374942635000,24305529829528548674800,2031272969339630171158576,180267634530033586511045778
%N A292693 Sum over all Dyck paths of semilength n of products over all peaks p of (x_p+n*y_p)/y_p, where x_p and y_p are the coordinates of peak p.
%H A292693 Alois P. Heinz, <a href="/A292693/b292693.txt">Table of n, a(n) for n = 0..200</a>
%F A292693 a(n) = A258219(n,n).
%F A292693 a(n) ~ 2^(3/2) * 3^((3*n-1)/2) * n^(n + 1/2) / (sqrt(Pi) * exp(n)). - _Vaclav Kotesovec_, Jul 19 2021
%Y A292693 Main diagonal of A258219.
%K A292693 nonn
%O A292693 0,2
%A A292693 _Alois P. Heinz_, Sep 20 2017