A388630 Decimal expansion of (1/2) * exp(Pi/6) * sqrt(2) * Gamma(3/4) / Pi^(1/4).

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A137829(k) / exp(k*Pi).

Example

1.0986956080242776463276218423446642900...

Mathematica

First[RealDigits[(Exp[Pi/6]*Gamma[3/4])/(Sqrt[2]*Pi^(1/4)), 10, 100]]

Prog

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

Crossrefs

Cf. A137829.

Sequence in context: A129269 A094145 A389669 * A002388 A388835 A248080

Adjacent sequences: A388627 A388628 A388629 * A388631 A388632 A388633

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved