A388768 Decimal expansion of (1/16) * exp(Pi / 4) * Pi^(5/2) * 2^(3/4) / Gamma(3/4)^10.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A215472(k) / exp(k*Pi).

Example

0.52818167495093062879028760966925798209...

Mathematica

First[RealDigits[(Pi^(5/2)*Exp[Pi/4])/(8*2^(1/4)*Gamma[3/4]^10), 10, 100]]

Prog

(PARI) (1/16) * exp(Pi / 4) * Pi^(5/2) * 2^(3/4) / gamma(3/4)^10

Crossrefs

Cf. A215472.

Sequence in context: A305574 A248259 A128666 * A013674 A155975 A152956

Adjacent sequences: A388765 A388766 A388767 * A388769 A388770 A388771

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved