A388550 Decimal expansion of (1/4) * exp(Pi / 3) * Pi^(3/4) * 2^(1/4) / Gamma(3/4)^3.

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

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} A113277(k) / exp(k*Pi).

Example

1.0864272336598265599769799575192681864...

Mathematica

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

Prog

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

Crossrefs

Cf. A113277.

Sequence in context: A343275 A177154 A059631 * A388741 A388107 A333198

Adjacent sequences: A388547 A388548 A388549 * A388551 A388552 A388553

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved