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A388759

Decimal expansion of (1/24) * exp(17*Pi/24) * Pi^(5/4) * 2^(5/8) * 3^(1/2) * Gamma(11/12) * (3^(1/2)-1) / Gamma(2/3) / Gamma(3/4)^4.

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

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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} A213023(k) / exp(k*Pi).

Equals exp(17*Pi/24) * Gamma(1/4)^3 / (2^(29/8) * 3^(3/8) * sqrt(1 + sqrt(3)) * Pi^(9/4)). - Vaclav Kotesovec, Jan 08 2026

EXAMPLE

1.0904121238696751755684546879245441434...

MATHEMATICA