A388927 - OEIS

A388927

Decimal expansion of (4*6^(1/3) * Pi^(2/3) * Gamma(3/4)^(26/3) * ((1+sqrt(3)) / Gamma(11/12))^(11/3)) / ((114+66 * sqrt(3)) * Gamma(7/12)^5 * Gamma(2/3)^(4/3)).

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

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

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} A261326(k) / exp(k*Pi).

Equals 3^(3/4) / (2^(1/6) * (1 + sqrt(3))^(2/3)). - Vaclav Kotesovec, Jan 09 2026

EXAMPLE

1.0391464557735634224313120482323499087...

MATHEMATICA

First[RealDigits[(4*6^(1/3)*Pi^(2/3)*Gamma[3/4]^(26/3)*((1 + Sqrt[3])/Gamma[11/12])^(11/3))/((114 + 66*Sqrt[3])*Gamma[7/12]^5*Gamma[2/3]^(4/3)), 10, 100]]

RealDigits[3^(3/4)/(2^(1/6)*(1 + Sqrt[3])^(2/3)), 10, 100][[1]] (* Vaclav Kotesovec, Jan 09 2026 *)

PROG

(PARI) Pi^(2/3) * 3^(1/3) * gamma(3/4)^(26/3) * (2^(1/2) * (1+3^(1/2)))^(11/3) * sqrt(2) / (66*3^(1/2)+114) / gamma(7/12)^5 / gamma(2/3)^(4/3) / gamma(11/12)^(11/3)

CROSSREFS

Cf. A261326.

Sequence in context: A254348 A168399 A290375 * A245081 A010631 A355926

Adjacent sequences: A388924 A388925 A388926 * A388928 A388929 A388930

KEYWORD

nonn,cons

AUTHOR

Simon Plouffe, Sep 21 2025

STATUS

approved