A388092 Decimal expansion of (1/32) * exp(Pi/2) * Pi^3 * sqrt(2) / Gamma(3/4)^12.

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

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} A000735(k) / exp(k*Pi).

Example

0.57490656597079194207510970772667131433...

Mathematica

First[RealDigits[(Pi^3*Exp[Pi/2])/(16*Sqrt[2]*Gamma[3/4]^12), 10, 100]]

Prog

(PARI) 1/32 * exp(1/2 * Pi) * Pi^3*2^(1/2) / gamma(3/4)^12

Crossrefs

Cf. A000735.

Sequence in context: A021639 A232975 A391710 * A198998 A096437 A096458

Adjacent sequences: A388089 A388090 A388091 * A388093 A388094 A388095

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved