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A389028

Decimal expansion of (3 * ((1+sqrt(3)) * Gamma(2/3))^(2/3) * ((6 * Gamma(11/12)) / Pi)^(1/3) * Gamma(19/12)) / (7 * Gamma(3/4)^(4/3)).

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

(list; constant; graph; refs; listen; history; text; internal format)

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} A294387(k) / exp(k*Pi).

Equals (1 + sqrt(3))^(1/3) / 2^(2/3). - Vaclav Kotesovec, Jan 09 2026

EXAMPLE

0.88066268175483768635377974244327662934...

MATHEMATICA

First[RealDigits[(3*((1 + Sqrt[3])*Gamma[2/3])^(2/3)*((6*Gamma[11/12])/Pi)^(1/3)*Gamma[19/12])/(7*Gamma[3/4]^(4/3)), 10, 100]]

RealDigits[(1 + Sqrt[3])^(1/3)/2^(2/3), 10, 100][[1]] (* Vaclav Kotesovec, Jan 09 2026 *)

PROG

(PARI) (1/4) * 3^(1/3) * gamma(2/3)^(2/3) * gamma(11/12)^(1/3) * gamma(7/12) / (2^(1/2) * (1+3^(1/2)))^(1/3) * sqrt(2) * (1+3^(1/2)) / Pi^(1/3) / gamma(3/4)^(4/3)

CROSSREFS

Cf. A294387.

Sequence in context: A321096 A345746 A243508 * A144802 A275477 A019960

Adjacent sequences: A389025 A389026 A389027 * A389029 A389030 A389031

KEYWORD

nonn,cons

AUTHOR

Simon Plouffe, Sep 22 2025

STATUS

approved

URL: https://oeis.org/A389028

⇱ A389028 - OEIS