A388217 Decimal expansion of (1/64) * exp(5*Pi/8) * Pi^(15/4) * 2^(3/8) / Gamma(3/4)^15.

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

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} A010822(k) / exp(k*Pi).

Example

0.50060661712181581298889081904093570384...

Mathematica

First[RealDigits[(Pi^(15/4)*Exp[(5*Pi)/8])/(32*2^(5/8)*Gamma[3/4]^15), 10, 100]]

Prog

(PARI) (1/64) * exp(5/8 * Pi) * Pi^(15/4) * 2^(3/8) / gamma(3/4)^15

Crossrefs

Cf. A010822.

Sequence in context: A099223 A233427 A237660 * A261852 A254293 A393269

Adjacent sequences: A388214 A388215 A388216 * A388218 A388219 A388220

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved