A388101 Decimal expansion of (1/2) * exp(Pi/12) * Pi^(1/2) * 2^(1/4) / Gamma(3/4)^2.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A002107(k) / exp(k*Pi).

Example

0.91186989547152364013707755048626662909...

Mathematica

First[RealDigits[(Sqrt[Pi]*Exp[Pi/12])/(2^(3/4)*Gamma[3/4]^2), 10, 100]]

Prog

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

Crossrefs

Cf. A002107.

Sequence in context: A195703 A174948 A388964 * A388463 A092578 A393650

Adjacent sequences: A388098 A388099 A388100 * A388102 A388103 A388104

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved