A388233 Decimal expansion of (1/131072) * exp(11*Pi/6) * Pi^11 * sqrt(2) / Gamma(3/4)^44.

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

Offset

0,2

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} A010838(k) / exp(k*Pi).

Example

0.13137820342052912231427879924240567027...

Mathematica

First[RealDigits[Exp[11*Pi/6]*Pi^11*Sqrt[2]/(2^17*Gamma[3/4]^44), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/131072) * exp(11/6 * Pi) * Pi^11 * sqrt(2) / gamma(3/4)^44

Crossrefs

Cf. A010838.

Sequence in context: A064434 A328988 A086401 * A095732 A001644 A139123

Adjacent sequences: A388230 A388231 A388232 * A388234 A388235 A388236

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved