A388693 Decimal expansion of exp(-Pi/24) * 2^(5/8) * Gamma(3/4)^2 / sqrt(Pi).

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A182818(k) / exp(k*Pi).

Example

1.14627121648118229187512753218693109549964654127743937131907741719736185133....

Mathematica

First[RealDigits[(2^(5/8)*Exp[-1/24*Pi]*Gamma[3/4]^2)/Sqrt[Pi], 10, 100]]

Prog

(PARI) exp(-1/24 * Pi) * 2^(5/8) * gamma(3/4)^2 / sqrt(Pi)

Crossrefs

Cf. A182818.

Sequence in context: A236189 A347910 A342875 * A114403 A356763 A137662

Adjacent sequences: A388690 A388691 A388692 * A388694 A388695 A388696

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved