A388093 Decimal expansion of (1/64) * exp(2*Pi/3) * Pi^4 / Gamma(3/4)^16.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A000739(k) / exp(k*Pi).

Example

0.47803866508178721351812866664556399945...

Mathematica

First[RealDigits[(Pi^4*Exp[(2*Pi)/3])/(64*Gamma[3/4]^16), 10, 100]]

Prog

(PARI) 1/64 * exp(2/3 * Pi) * Pi^4 / gamma(3/4)^16

Crossrefs

Cf. A000739.

Sequence in context: A154922 A060409 A305740 * A171548 A296565 A396611

Adjacent sequences: A388090 A388091 A388092 * A388094 A388095 A388096

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved