A388116 Decimal expansion of (1/2) * exp(Pi / 4) * sqrt(Pi) * 2^(3/4) / Gamma(3/4)^2.

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

Offset

1,1

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} A004020(k) / exp(k*Pi).

Example

2.1769273461605882865882224804673317727...

Mathematica

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

Prog

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

Crossrefs

Cf. A004020.

Sequence in context: A178049 A257577 A060583 * A246751 A295850 A078104

Adjacent sequences: A388113 A388114 A388115 * A388117 A388118 A388119

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved