A388705 Decimal expansion of (1/16) * exp(7*Pi/12) * Pi * 2^(3/4) / Gamma(3/4)^4.

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

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} A187150(k) / exp(k*Pi).

Example

0.91527881699028148914758065904103649468...

Mathematica

First[RealDigits[Exp[7*Pi/12]*Pi*2^(3/4)/(16*Gamma[3/4]^4), 10, 100]] (* Paolo Xausa, Sep 20 2025 *)

Prog

(PARI) (1/16) * exp(7/12 * Pi) * Pi * 2^(3/4) / gamma(3/4)^4

Crossrefs

Cf. A187150.

Sequence in context: A197684 A121224 A388779 * A388617 A388670 A388866

Adjacent sequences: A388702 A388703 A388704 * A388706 A388707 A388708

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved