A388376 Decimal expansion of (1/64) * exp(Pi) * Pi^(9/4) / Gamma(3/4)^9.

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

Offset

0,1

Links

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

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A029769(k) / exp(k*Pi).

Example

0.76248171623947907265134547503604087767848973669926186261545824099501339715....

Mathematica

First[RealDigits[(Pi^(9/4)*Exp[Pi])/(64*Gamma[3/4]^9), 10, 100]]

Prog

(PARI) (1/64) * exp(Pi) * Pi^(9/4) / gamma(3/4)^9

Crossrefs

Cf. A029769.

Sequence in context: A323098 A387985 A068469 * A388761 A383861 A276459

Adjacent sequences: A388373 A388374 A388375 * A388377 A388378 A388379

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved