A388395 - OEIS

A388395

Decimal expansion of (2^(5/8) * sqrt(2-sqrt(2)) * exp((7 * Pi) / 8) * Gamma(5/4)^3) / Pi^(9/4).

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

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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} A033763(k) / exp(k*Pi).

EXAMPLE

1.0452465691712310662180940755782031442...

MATHEMATICA

First[RealDigits[(2^(5/8)*Sqrt[2 - Sqrt[2]]*Exp[(7*Pi)/8]*Gamma[5/4]^3)/Pi^(9/4), 10, 100]]