A388353 Decimal expansion of 4 * exp(-Pi / 4) * 2^(1/4) * Gamma(3/4)^6 / Pi^(3/2).

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

Offset

1,2

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} A023005(k) / exp(k*Pi).

Example

1.3188681051979973713073890238703182930...

Mathematica

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

Prog

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

Crossrefs

Cf. A023005.

Sequence in context: A176103 A388099 A388960 * A308666 A076238 A008298

Adjacent sequences: A388350 A388351 A388352 * A388354 A388355 A388356

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved