A388232 Decimal expansion of (1/4096) * exp(4*Pi/3) * Pi^8 / Gamma(3/4)^32.

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

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A010837(k) / exp(k*Pi).

Example

0.22852096531317712573524151049801085344...

Mathematica

First[RealDigits[Exp[4*Pi/3]*Pi^8/(4096*Gamma[3/4]^32), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/4096) * exp(4/3 * Pi) * Pi^8 / gamma(3/4)^32

Crossrefs

Cf. A010837.

Sequence in context: A075101 A075103 A021818 * A336198 A382578 A241328

Adjacent sequences: A388229 A388230 A388231 * A388233 A388234 A388235

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved