A388385 Decimal expansion of 2 * exp(-5*Pi/24) * 2^(3/8) * Gamma(3/4)^3 / Pi^(3/4).

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

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} A029862(k) / exp(k*Pi).

Example

1.0511390058167418716251981032540304164...

Mathematica

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

Prog

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

Crossrefs

Cf. A029862.

Sequence in context: A366426 A154740 A179261 * A154567 A260210 A139391

Adjacent sequences: A388382 A388383 A388384 * A388386 A388387 A388388

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved