A388358 Decimal expansion of 8 * exp(-5*Pi/12) * 2^(3/4) * Gamma(3/4)^10 / Pi^(5/2).

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

Offset

1,2

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} A023009(k) / exp(k*Pi).

Example

1.5861184224461459340779562285873436137...

Mathematica

First[RealDigits[(8*2^(3/4)*Exp[(-5*Pi)/12]*Gamma[3/4]^10)/Pi^(5/2), 10, 100]]

Prog

(PARI) 8 * exp(-5/12 * Pi) * 2^(3/4) * gamma(3/4)^10 / Pi^(5/2)

Crossrefs

Cf. A023009.

Sequence in context: A296486 A378872 A011424 * A392453 A011495 A136258

Adjacent sequences: A388355 A388356 A388357 * A388359 A388360 A388361

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved