A388223 Decimal expansion of (1/512) * exp(11*Pi/12) * Pi^(11/2) * 2^(3/4) / Gamma(3/4)^22.

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

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} A010828(k) / exp(k*Pi).

Example

0.36246131299840693800372049829754062641...

Mathematica

First[RealDigits[Exp[11*Pi/12]*Pi^(11/2)*2^(3/4)/(512*Gamma[3/4]^22), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/512) * exp(11/12 * Pi) * Pi^(11/2) * 2^(3/4) / gamma(3/4)^22

Crossrefs

Cf. A010828.

Sequence in context: A019769 A092948 A308315 * A200474 A154858 A169837

Adjacent sequences: A388220 A388221 A388222 * A388224 A388225 A388226

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved