A388701 Decimal expansion of 12 * (2 + sqrt(3)) *exp(-Pi) * Gamma(2/3)^2 * Gamma(3/4)^8 / Gamma(11/12)^5 / Gamma(7/12)^3 / Pi.

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

Offset

1,2

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

Formula

Empirical: Equals Sum_{k>=0} A187146(k) / exp(k*Pi).

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

Example

1.226942740909793581643100369894843...

Mathematica

First[RealDigits[12*(2 + Sqrt[3])*Exp[-Pi]*Gamma[2/3]^2*Gamma[3/4]^8/(Pi*Gamma[11/12]^5*Gamma[7/12]^3), 10, 100]] (* Paolo Xausa, Sep 20 2025 *)
RealDigits[6*(3 + Sqrt[3])/E^Pi, 10, 100][[1]] (* Vaclav Kotesovec, Jan 07 2026 *)

Prog

(PARI) 12 * (2 + sqrt(3)) * exp(-Pi) * gamma(2/3)^2 * gamma(3/4)^8 / gamma(11/12)^5 / gamma(7/12)^3 / Pi

Crossrefs

Cf. A187146.

Sequence in context: A169800 A094485 A331988 * A242978 A392562 A345308

Adjacent sequences: A388698 A388699 A388700 * A388702 A388703 A388704

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved