A388774 Decimal expansion of (1/64) * exp(Pi) * Pi^4 / Gamma(3/4)^16.

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

Offset

1,2

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A216711(k) / exp(k*Pi).

Example

1.3622447502336276207048119559020709087...

Mathematica

First[RealDigits[(Pi^4*Exp[Pi])/(64*Gamma[3/4]^16), 10, 100]]

Prog

(PARI) (1/64) * exp(Pi) * Pi^4 / gamma(3/4)^16

Crossrefs

Cf. A216711.

Sequence in context: A159963 A120907 A133358 * A058099 A292789 A124085

Adjacent sequences: A388771 A388772 A388773 * A388775 A388776 A388777

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved