a(n) = (2*n)!*(Integral_{x=0..sqrt(2/3)} 1/(1-x^2)^(n+1/2) dx)/((n!*2^n)*sqrt(2)).

A089155

a(n) = (2*n)!*(Integral_{x=0..sqrt(2/3)} 1/(1-x^2)^(n+1/2) dx)/((n!*2^n)*sqrt(2)).

Terms

    a(0) =1a(1) =5a(2) =47a(3) =687a(4) =14001a(5) =369645a(6) =12013695a(7) =463731975a(8) =20719022625

External references