A388230 Decimal expansion of (1/4096) * exp(5*Pi/4) * Pi^(15/2) * 2^(3/4) / Gamma(3/4)^30.

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

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} A010835(k) / exp(k*Pi).

Example

0.25060698510614829308978567529902843559...

Mathematica

First[RealDigits[Exp[5*Pi/4]*Pi^(15/2)*2^(3/4)/(4096*Gamma[3/4]^30), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/4096) * exp(5/4 * Pi) * Pi^(15/2) * 2^(3/4) / gamma(3/4)^30

Crossrefs

Cf. A010835.

Sequence in context: A058204 A242969 A268886 * A090625 A021403 A299623

Adjacent sequences: A388227 A388228 A388229 * A388231 A388232 A388233

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved