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A389025

Decimal expansion of (1/54) * exp(Pi) * 3^(3/4) * Pi^2 * (3^(1/2)-1) / Gamma(2/3) / Gamma(3/4)^5 / Gamma(7/12).

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

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

OFFSET

1,2

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} A288143(k) / exp(k*Pi).

Equals (sqrt(3) - 1) * exp(Pi) * sqrt(1 + sqrt(3)) * Gamma(1/4)^6 / (2^(21/4) * 3^(15/8) * Pi^(9/2)). - Vaclav Kotesovec, Jan 09 2026

EXAMPLE

1.2338550899790064832414220733263406178...

MATHEMATICA

First[RealDigits[((-1 + Sqrt[3])*Pi^2*Exp[Pi])/(18*3^(1/4)*Gamma[7/12]*Gamma[2/3]*Gamma[3/4]^5), 10, 100]]

RealDigits[(Sqrt[3] - 1) * E^Pi * Sqrt[1 + Sqrt[3]] * Gamma[1/4]^6 / (2^(21/4) * 3^(15/8) * Pi^(9/2)), 10, 100][[1]] (* Vaclav Kotesovec, Jan 09 2026 *)

PROG

(PARI) (1/54) * exp(Pi) * 3^(3/4) * Pi^2 * (3^(1/2)-1) / gamma(2/3) / gamma(3/4)^5 / gamma(7/12)

CROSSREFS

Cf. A288143.

Sequence in context: A295725 A132822 A347823 * A185297 A329803 A355196

Adjacent sequences: A389022 A389023 A389024 * A389026 A389027 A389028

KEYWORD

nonn,cons

AUTHOR

Simon Plouffe, Sep 22 2025

STATUS

approved

URL: https://oeis.org/A389025

⇱ A389025 - OEIS