A388587 Decimal expansion of (1/4) * exp(Pi / 8) * Pi^(3/2) * 2^(3/8) / Gamma(3/4)^6.

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

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} A128712(k) / exp(k*Pi).

Example

0.78957854238885347613434958594142100221852152673963357165505673037284073674....

Mathematica

First[RealDigits[(Pi^(3/2)*Exp[Pi/8])/(2*2^(5/8)*Gamma[3/4]^6), 10, 100]]

Prog

(PARI) (1/4) * exp(Pi / 8) * Pi^(3/2) * 2^(3/8) / gamma(3/4)^6

Crossrefs

Cf. A128712.

Sequence in context: A114514 A011471 A257237 * A242022 A085676 A036793

Adjacent sequences: A388584 A388585 A388586 * A388588 A388589 A388590

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved