A388241 Decimal expansion of (1/256) * exp(3*Pi/2) * Pi^3 * sqrt(2) / Gamma(3/4)^12.

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

Offset

1,2

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} A014787(k) / exp(k*Pi).

Example

1.6629670169620917361542055550048201716...

Mathematica

First[RealDigits[(65536*Sqrt[2]*Pi^3*Exp[(3*Pi)/2])/Gamma[-1/4]^12, 10, 100]]

Prog

(PARI) (1/256) * exp(3/2 * Pi) * Pi^3 * sqrt(2) / gamma(3/4)^12

Crossrefs

Cf. A014787.

Sequence in context: A212298 A064926 A391673 * A285814 A388514 A154006

Adjacent sequences: A388238 A388239 A388240 * A388242 A388243 A388244

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved