A389026 Decimal expansion of 3 * exp(-Pi/24) * 2^(3/8) * Gamma(3/4) / Pi^(1/4).

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

Offset

1,1

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} A299473(k) / exp(k*Pi).

Example

3.1416284101381263906593965894962394484...

Mathematica

First[RealDigits[(3*2^(3/8)*Exp[-1/24*Pi]*Gamma[3/4])/Pi^(1/4), 10, 100]]

Prog

(PARI) 3 * exp(-1/24 * Pi) * 2^(3/8) * gamma(3/4) / Pi^(1/4)

Crossrefs

Cf. A299473.

Sequence in context: A014462 A309992 A016474 * A332678 A069264 A347459

Adjacent sequences: A389023 A389024 A389025 * A389027 A389028 A389029

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved