A388561 Decimal expansion of (1/2) * exp(Pi / 24) * sqrt(Pi) * 2^(3/8) / Gamma(3/4)^2.

8, 7, 2, 3, 9, 3, 8, 8, 5, 1, 6, 6, 0, 2, 1, 2, 2, 4, 5, 2, 4, 9, 0, 0, 8, 1, 8, 9, 4, 2, 1, 1, 4, 7, 6, 7, 5, 8, 7, 6, 7, 8, 3, 9, 6, 2, 3, 8, 4, 3, 9, 5, 4, 8, 3, 6, 4, 4, 9, 2, 4, 9, 4, 5, 1, 2, 2, 1, 5, 1, 2, 7, 6, 1, 0, 8, 4, 8, 4, 0, 4, 6, 9, 1, 5, 6, 3

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A115110(k) / exp(k*Pi).

Example

0.87239388516602122452490081894211476758...

Mathematica

First[RealDigits[(Sqrt[Pi]*Exp[Pi/24])/(2^(5/8)*Gamma[3/4]^2), 10, 100]]

Prog

(PARI) (1/2) * exp(Pi / 24) * sqrt(Pi) * 2^(3/8) / gamma(3/4)^2

Crossrefs

Cf. A115110.

Sequence in context: A331370 A279037 A328895 * A154846 A173598 A271727

Adjacent sequences: A388558 A388559 A388560 * A388562 A388563 A388564

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved