A388102 Decimal expansion of (1/4) * exp(Pi/4) * Pi * 2^(1/4) / Gamma(3/4)^4.

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

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} A002171(k) / exp(k*Pi).

Example

0.90846099773996681643318774600267497922...

Mathematica

First[RealDigits[(64*2^(1/4)*Pi*Exp[Pi/4])/Gamma[-1/4]^4, 10, 100]]

Prog

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

Crossrefs

Cf. A002171.

Sequence in context: A021528 A388375 A389049 * A388169 A210973 A154185

Adjacent sequences: A388099 A388100 A388101 * A388103 A388104 A388105

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved