A388352 Decimal expansion of 2 * exp(-5*Pi/24) * 2^(7/8) * Gamma(3/4)^5 / Pi^(5/4).

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

Offset

1,2

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} A023004(k) / exp(k*Pi).

Example

1.2594119351690081288015554977991932563...

Mathematica

First[RealDigits[(2*2^(7/8)*Exp[(-5*Pi)/24]*Gamma[3/4]^5)/Pi^(5/4), 10, 100]]

Prog

(PARI) 2 * exp(-5/24 * Pi) * 2^(7/8) * gamma(3/4)^5 / Pi^(5/4)

Crossrefs

Cf. A023004.

Sequence in context: A388098 A388494 A111761 * A021798 A336830 A065226

Adjacent sequences: A388349 A388350 A388351 * A388353 A388354 A388355

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved