cp's OEIS Frontend

a(n) ~ 2^(2*n^3/3 + 5*n^2/4 + 2*n/3 + 1/24) * Pi^(n*(n+1)/4) * n^(5*n^3/6 + 5*n^2/4 + 5*n/12) / exp(31*n^3/36 + 7*n^2/8 - 1/24).

For n>=1, a(n) = a(n-1) * A368132(n) * (2*n-1)!^n.

a(n) ~ (2*Pi)^(n*(n^2 - 1)/6) * n^(n^4/8 - n^3/12 - n^2/6 + n/24 + 19/720) / (A^(n^2/2 + n/2 - 1/3) * exp(7*n^4/32 - 5*n^3/72 - 7*n^2/24 - n/24 - zeta(3)/(8*Pi^2) + zeta'(-3)/6 + 23/720)), where A is the Glaisher-Kinkelin constant A074962, zeta(3) = A002117, zeta'(-3) = A259068.

a(n) = A^(35/6) * exp(-35/72) * Gamma(1/3)^(5/3) * 2^(-125/72 + 3*n^2) * 3^(47/72 + 5*n/2 + 3*n^2) * Pi^(-25/12 - 5*n/2) * BarnesG(1 + n) * BarnesG(7/6 + n) * BarnesG(4/3 + n) * BarnesG(3/2 + n) * BarnesG(5/3 + n) * BarnesG(11/6 + n), where A = A074962 is the Glaisher-Kinkelin constant.

a(n) ~ A^(-1/6) * Gamma(1/3)^(5/3) * 2^(-35/72 + 3*n + 3*n^2) * 3^(47/72 + 5*n/2 + 3*n^2) * exp(1/72 - 5*n/2 - 9*n^2/2) * n^(19/72 + 5*n/2 + 3*n^2) * Pi^(-5/6 + n/2), where A = A074962 is the Glaisher-Kinkelin constant.

a(n) = Product_{k=1..n} BarnesG(k+2)^k.

a(n) = A372140(n+2) / A055462(n)^2.

a(n) ~ (2*Pi)^(n*(n+1)*(n+2)/6) * n^(n^4/8 + 7*n^3/12 + 5*n^2/6 + 3*n/8 + 19/720) / (A^(n^2/2 + n/2 - 1/3) * exp(7*n^4/32 + 59*n^3/72 + 17*n^2/24 - n/24 + zeta(3)/(8*Pi^2) + zeta'(-3)/6 - 37/720)), where A is the Glaisher-Kinkelin constant A074962, zeta(3) = A002117, zeta'(-3) = A259068.