A389070 Decimal expansion of 2 * exp(-Pi/12) * 2^(3/4) * Gamma(3/4)^6 / Pi^(3/2).

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

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} A361535(k) / exp(k*Pi).

Example

1.5742816263826200694667463830675978161...

Mathematica

First[RealDigits[(2*2^(3/4)*Exp[-1/12*Pi]*Gamma[3/4]^6)/Pi^(3/2), 10, 100]]

Prog

(PARI) 2 * exp(-1/12 * Pi) * 2^(3/4) * gamma(3/4)^6 / Pi^(3/2)

Crossrefs

Cf. A361535.

Sequence in context: A021868 A243395 A396706 * A245655 A011497 A010488

Adjacent sequences: A389067 A389068 A389069 * A389071 A389072 A389073

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved