A388926 Decimal expansion of (1/4) * exp(Pi / 3) * Gamma(11/12)^3 * Gamma(7/12)^3 / Gamma(3/4)^6.

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

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} A261325(k) / exp(k*Pi).

Equals exp(Pi/3) / (sqrt(2) * 3^(3/4)). - Vaclav Kotesovec, Jan 09 2026

Example

0.88396725791824686753037573112374610756...

Mathematica

First[RealDigits[(Exp[Pi/3]*Gamma[7/12]^3*Gamma[11/12]^3)/(4*Gamma[3/4]^6), 10, 100]]
RealDigits[E^(Pi/3)/(Sqrt[2]*3^(3/4)), 10, 100][[1]] (* Vaclav Kotesovec, Jan 09 2026 *)

Prog

(PARI) (1/4) * exp(Pi / 3) * gamma(11/12)^3 * gamma(7/12)^3 / gamma(3/4)^6

Crossrefs

Cf. A261325.

Sequence in context: A303617 A296428 A073447 * A011213 A178728 A256489

Adjacent sequences: A388923 A388924 A388925 * A388927 A388928 A388929

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved