A388218 Decimal expansion of (1/128) * exp(17*Pi/24) * Pi^(17/4) * 2^(5/8) / Gamma(3/4)^17.

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

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} A010823(k) / exp(k*Pi).

Example

0.45648810362722324198150635170767797493...

Mathematica

First[RealDigits[Exp[17*Pi/24]*Pi^(17/4)*2^(5/8)/(128*Gamma[3/4]^17), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/128) * exp(17/24 * Pi) * Pi^(17/4) * 2^(5/8) / gamma(3/4)^17

Crossrefs

Cf. A010823.

Sequence in context: A386545 A196999 A090370 * A002129 A113184 A136004

Adjacent sequences: A388215 A388216 A388217 * A388219 A388220 A388221

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved