A323755 Decimal expansion of a constant related to the asymptotics of A203475.
2, 7, 4, 5, 2, 8, 3, 5, 0, 3, 3, 3, 5, 5, 2, 9, 0, 3, 8, 0, 0, 4, 0, 8, 9, 9, 3, 4, 8, 2, 5, 0, 7, 4, 2, 8, 1, 4, 2, 3, 8, 3, 7, 8, 3, 7, 7, 3, 1, 9, 0, 4, 5, 1, 1, 8, 1, 0, 7, 2, 7, 2, 3, 7, 4, 2, 6, 9, 1, 6, 7, 8, 1, 0, 5, 7, 6, 2, 7, 4, 0, 6, 2, 0, 0, 1, 6, 5, 7, 0, 3, 2, 1, 2, 1, 9, 6, 1, 2, 5, 7, 4, 4, 5, 2, 8
Offset: 0
Examples
0.274528350333552903800408993482507428142383783773190451181072723742691...
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..296
Programs
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Mathematica
RealDigits[Sqrt[Gamma[1/4]] * E^(Pi/24) / (2^(9/8) * Pi^(9/8)), 10, 120][[1]]
Formula
Equals limit_{n->infinity} A203475(n) / (2^(n^2/2) * exp(Pi*n*(n+1)/4 - 3*n^2/2 + n) * n^(n*(n-1) - 3/4)).
Equals sqrt(Gamma(1/4)) * exp(Pi/24) / (2*Pi)^(9/8).