A388598 Decimal expansion of ((4+3 * sqrt(2))^(1/8) * exp(Pi / 4) * Gamma(1/4) * sin(Pi / 8)) / (2^(5/8) * Pi^(3/4)).

1, 0, 8, 8, 4, 7, 1, 2, 6, 4, 8, 2, 4, 1, 8, 4, 8, 1, 8, 8, 1, 0, 1, 8, 7, 4, 3, 1, 1, 5, 5, 3, 1, 5, 1, 8, 1, 6, 0, 8, 3, 4, 1, 6, 7, 8, 0, 3, 1, 2, 6, 9, 4, 2, 5, 9, 2, 0, 8, 2, 4, 2, 0, 9, 0, 9, 3, 5, 4, 6, 4, 0, 9, 6, 2, 9, 8, 9, 2, 8, 6, 2, 0, 3, 8, 5, 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} A132965(k) / exp(k*Pi).

Example

1.0884712648241848188101874311553151816...

Mathematica

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

Prog

(PARI) (1/2) * exp(Pi / 4) * 2^(5/16) * gamma(5/8) / Pi^(1/4) / (2^(1/2) * (2-2^(1/2))^(1/2))^(1/2) / (2^(1/2) * (2+2^(1/2))^(1/2))^(1/2) * (2+2^(1/2))^(1/4) / gamma(7/8)

Crossrefs

Cf. A132965.

Sequence in context: A388763 A388483 A388884 * A388453 A388521 A154841

Adjacent sequences: A388595 A388596 A388597 * A388599 A388600 A388601

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved