A388433 Decimal expansion of (1/4) * exp(Pi / 2) * Pi^2 * sqrt(2) / Gamma(3/4)^8.

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

Offset

1,1

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} A045820(k) / exp(k*Pi).

Example

3.3012055376587839726206813466632508922...

Mathematica

First[RealDigits[(Pi^2*Exp[Pi/2])/(2*Sqrt[2]*Gamma[3/4]^8), 10, 100]]

Prog

(PARI) (1/4) * exp(Pi / 2) * Pi^2 * sqrt(2) / gamma(3/4)^8

Crossrefs

Cf. A045820.

Sequence in context: A306629 A185282 A383844 * A193470 A102752 A104548

Adjacent sequences: A388430 A388431 A388432 * A388434 A388435 A388436

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved