A388109 Decimal expansion of exp(-1/8 * Pi) / sqrt(Pi) * 2^(7/8) * Gamma(3/4)^2.

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

Offset

1,3

Links

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

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

Formula

Empirical: Equals Sum_{k>=0} A002513(k) / exp(k*Pi).

Example

1.0491723982387612600152244707674600803...

Mathematica

First[RealDigits[(2^(7/8)*Exp[-1/8*Pi]*Gamma[3/4]^2)/Sqrt[Pi], 10, 100]]

Prog

(PARI) exp(-1/8 * Pi) / sqrt(Pi) * 2^(7/8) * gamma(3/4)^2

Crossrefs

Cf. A002513.

Sequence in context: A219031 A243452 A133868 * A295709 A316295 A199788

Adjacent sequences: A388106 A388107 A388108 * A388110 A388111 A388112

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved