A388823 Decimal expansion of (sqrt(58+41 * sqrt(2)) * Gamma(1/4)^4 * sin(Pi / 8)^4) / Pi^3.

1, 2, 8, 7, 1, 5, 2, 5, 9, 5, 2, 5, 0, 8, 9, 0, 7, 6, 1, 6, 0, 0, 3, 9, 8, 4, 8, 0, 9, 4, 5, 9, 8, 2, 2, 8, 4, 3, 8, 8, 9, 2, 4, 1, 5, 5, 7, 3, 8, 3, 5, 5, 7, 2, 9, 2, 0, 1, 6, 2, 6, 8, 7, 8, 6, 2, 7, 9, 6, 2, 2, 5, 5, 0, 1, 6, 6, 1, 9, 4, 9, 5, 0, 4, 0, 5, 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} A236928(k) / exp(k*Pi).

Example

1.28715259525089076160039848094598228438892415573835572920162687862796225501....

Mathematica

First[RealDigits[(Sqrt[58 + 41*Sqrt[2]]*Gamma[1/4]^4*Sin[Pi/8]^4)/Pi^3, 10, 100]]

Prog

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

Crossrefs

Cf. A236928.

Sequence in context: A134877 A336069 A085298 * A011060 A278808 A323459

Adjacent sequences: A388820 A388821 A388822 * A388824 A388825 A388826

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved