A388316 Decimal expansion of (1/16) * exp(13*Pi/12) * 2^(3/4).

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A022590(k) / exp(k*Pi).

Example

3.1602897125059264603859539407065472286...

Mathematica

First[RealDigits[Exp[(13*Pi)/12]/(8*2^(1/4)), 10, 100]]

Prog

(PARI) (1/16) * exp(13/12 * Pi) * 2^(3/4)

Crossrefs

Cf. A022590.

Sequence in context: A174424 A298330 A382128 * A210621 A226771 A096614

Adjacent sequences: A388313 A388314 A388315 * A388317 A388318 A388319

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved