A388193 Decimal expansion of (1/4) * exp(3*Pi/8) * Pi^(3/4) * 2^(1/8) / Gamma(3/4)^3.

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

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} A008443(k) / exp(k*Pi).

Example

1.1355882988637304295069091164175749204...

Mathematica

First[RealDigits[(-16*2^(1/8)*Pi^(3/4)*Exp[(3*Pi)/8])/Gamma[-1/4]^3, 10, 100]]

Prog

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

Crossrefs

Cf. A008443.

Sequence in context: A138575 A380409 A263209 * A101330 A063285 A316938

Adjacent sequences: A388190 A388191 A388192 * A388194 A388195 A388196

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved