A388702 Decimal expansion of (9/16) * exp(-Pi) * Gamma(2/3)^4 * Gamma(3/4)^4 * (1+3^(1/2))^4 / Gamma(11/12)^4 / Pi^2.

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

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} A187147(k) / exp(k*Pi).

Equals (9 + 6*sqrt(3)) / exp(Pi). - Vaclav Kotesovec, Jan 07 2026

Example

0.83801747653584333367334073534929107511...

Mathematica

First[RealDigits[9*Exp[-Pi]*Gamma[2/3]^4*Gamma[3/4]^4*(1 + Sqrt[3])^4/(16*Gamma[11/12]^4*Pi^2), 10, 100]] (* Paolo Xausa, Sep 20 2025 *)
RealDigits[(9 + 6*Sqrt[3]) / E^(Pi), 10, 100][[1]] (* Vaclav Kotesovec, Jan 07 2026 *)

Prog

(PARI) (9/16) * exp(-Pi) * gamma(2/3)^4 * gamma(3/4)^4 * (1+3^(1/2))^4 / gamma(11/12)^4 / Pi^2

Crossrefs

Cf. A187147.

Sequence in context: A011214 A119806 A248296 * A217732 A089260 A109866

Adjacent sequences: A388699 A388700 A388701 * A388703 A388704 A388705

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved