A388392 - OEIS

A388392

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

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

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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} A033716(k) / exp(k*Pi).

Equals sqrt(1 + sqrt(3)) * Gamma(1/4)^2 / (2^(5/4) * 3^(3/8) * Pi^(3/2)). - Vaclav Kotesovec, Jan 08 2026

EXAMPLE

1.0866101607435811045507157864090603958...

MATHEMATICA