A388486 - OEIS

A388486

Decimal expansion of (3^(5/12) * exp((-5 * Pi) / 24) * (((1+sqrt(3)) * Gamma(7/12)) / Pi)^(1/3) * Gamma(3/4)^(2/3) * Gamma(5/6)^(1/6)) / 2^(1/72).

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

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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} A096981(k) / exp(k*Pi).

Equals 2^(19/24) * 3^(3/8) * (1 + sqrt(3))^(1/6) * Pi^(3/4) / (exp(5*Pi/24) * Gamma(1/4)). - Vaclav Kotesovec, Jan 08 2026

EXAMPLE

1.0452502211618122124126232581896587249...

MATHEMATICA