A388086 Decimal expansion of 2 * exp(-Pi/8) * 2^(1/8) * Gamma(3/4)^3 / Pi^(3/4).

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

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} A000716(k) / exp(k*Pi).

Example

1.1484198296781527497673927188230578383...

Mathematica

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

Prog

(PARI) 2 * exp(-1/8 * Pi) / Pi^(3/4) * 2^(1/8) * gamma(3/4)^3

Crossrefs

Cf. A000716.

Sequence in context: A365944 A092511 A380206 * A391987 A045816 A085991

Adjacent sequences: A388083 A388084 A388085 * A388087 A388088 A388089

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved