A388467 Decimal expansion of 16777216 * exp(-8*Pi/3) * Gamma(3/4)^64 / Pi^16.

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

Offset

2,2

Links

Table of n, a(n) for n=2..88.

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

Formula

Empirical: Equals Sum_{k>=0} A082559(k) / exp(k*Pi).

Example

19.149079409849327111983475255938934523...

Mathematica

First[RealDigits[(16777216*Exp[(-8*Pi)/3]*Gamma[3/4]^64)/Pi^16, 10, 100]]

Prog

(PARI) 16777216 * exp(-8/3 * Pi) * gamma(3/4)^64 / Pi^16

Crossrefs

Cf. A082559.

Sequence in context: A114893 A388517 A089101 * A359809 A298512 A192930

Adjacent sequences: A388464 A388465 A388466 * A388468 A388469 A388470

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved