A388762 Decimal expansion of (1/16) * exp(Pi / 8) * 2^(1/8) * Gamma(5/8)^3 * (2+sqrt(2))^2 / Pi^(3/4) / Gamma(7/8)^3.

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A213622(k) / exp(k*Pi).

Example

1.1377049848072927727073474476362887644...

Mathematica

First[RealDigits[((3 + 2*Sqrt[2])*Exp[Pi/8]*Gamma[1/4]^3*Sin[Pi/8]^3)/(2^(5/8)*Pi^(9/4)), 10, 100]]

Prog

(PARI) (1/16) * exp(Pi / 8) * 2^(1/8) * gamma(5/8)^3 * (2+2^(1/2))^2 / Pi^(3/4) / gamma(7/8)^3

Crossrefs

Cf. A213622.

Sequence in context: A363146 A013564 A009467 * A258982 A227336 A373862

Adjacent sequences: A388759 A388760 A388761 * A388763 A388764 A388765

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved