A388356 Decimal expansion of 8 * exp(-3*Pi/8) * 2^(3/8) * Gamma(3/4)^9 / Pi^(9/4).

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

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} A023008(k) / exp(k*Pi).

Example

1.5146142847394321844198140968934133053...

Mathematica

First[RealDigits[(8*2^(3/8)*Exp[(-3*Pi)/8]*Gamma[3/4]^9)/Pi^(9/4), 10, 100]]

Prog

(PARI) 8 * exp(-3/8 * Pi) * 2^(3/8) * gamma(3/4)^9 / Pi^(9/4)

Crossrefs

Cf. A023008.

Sequence in context: A200022 A216157 A216851 * A179290 A342014 A355953

Adjacent sequences: A388353 A388354 A388355 * A388357 A388358 A388359

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved