A388908 Decimal expansion of (2 * (1+sqrt(2)) * exp(Pi / 8) * Gamma(5/4) * sin(Pi / 8)) / Pi^(3/4).

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

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} A260163(k) / exp(k*Pi).

Example

1.05111701186789664655346007356329323916800722580204477625946857822943659944....

Mathematica

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

Prog

(PARI) (1/8) * exp(Pi / 8) * 2^(3/4) * gamma(5/8) * (2+2^(1/2)) / Pi^(1/4) / gamma(7/8)

Crossrefs

Cf. A260163.

Sequence in context: A385130 A293718 A068316 * A359945 A284252 A284254

Adjacent sequences: A388905 A388906 A388907 * A388909 A388910 A388911

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 21 2025

Status

approved