A389067 Decimal expansion of 2 * exp(-Pi/8) * 2^(5/8) * Gamma(3/4)^5 / Pi^(5/4).

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

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} A350643(k) / exp(k*Pi).

Example

1.3759680043055907578747795522412278857...

Mathematica

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

Prog

(PARI) 2 * exp(-1/8 * Pi) * 2^(5/8) * gamma(3/4)^5 / Pi^(5/4)

Crossrefs

Cf. A350643.

Sequence in context: A019809 A305741 A021270 * A259565 A113910 A264983

Adjacent sequences: A389064 A389065 A389066 * A389068 A389069 A389070

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved