A388229 - OEIS

A388229

Decimal expansion of (1/2048) * exp(29*Pi/24) * Pi^(29/4) * 2^(1/8) / Gamma(3/4)^29.

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

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OFFSET

0,1

LINKS

Paolo Xausa, Table of n, a(n) for n = 0..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

FORMULA

Empirical: Equals Sum_{k>=0} A010834(k) / exp(k*Pi).

EXAMPLE

0.26243800806284592719020759338084869312...

MATHEMATICA

First[RealDigits[Exp[29*Pi/24]*Pi^(29/4)*2^(1/8)/(2048*Gamma[3/4]^29), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)