A389049 - OEIS

A389049

Decimal expansion of (sqrt(2+sqrt(2)) * (7+5 * sqrt(2)) * (2+sqrt(3)) * Gamma(7/12)^2 * Gamma(5/8)^6 * Gamma(2/3)^2) / (64 * Pi^3 * Gamma(7/8)^6).

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

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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} A320138(k) / exp(k*Pi).

Equals sqrt(1 + sqrt(2)) * (1 + sqrt(3)) * Gamma(1/4)^4 / (2^(13/4) * 3^(3/4) * Pi^3). - Vaclav Kotesovec, Jan 09 2026

EXAMPLE

1.0908445581114080430744973274775962559...

MATHEMATICA