A388941 Decimal expansion of 4 * exp(-Pi/3) * Gamma(3/4)^6 / Gamma(11/12)^3 / Gamma(7/12)^3.

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A263526(k) / exp(k*Pi).

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

Example

1.1312636198257066491592584111853455831...

Mathematica

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

Prog

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

Crossrefs

Cf. A263526.

Sequence in context: A080818 A334354 A052417 * A130509 A171072 A102035

Adjacent sequences: A388938 A388939 A388940 * A388942 A388943 A388944

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved