A388153 Decimal expansion of Gamma(3/4)^17 / Pi^(17/4).

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

Offset

0,1

Links

Kelvin Voskuijl, Table of n, a(n) for n = 0..20000

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

Formula

Empirical: Equals Sum_{k>=0} A004418(k) / exp(k*Pi).

Example

0.24430793015324873382152388197256976885...

Mathematica

First[RealDigits[Gamma[3/4]^17/Pi^(17/4), 10, 100]]

Prog

(PARI) 1 / Pi^(17/4) * gamma(3/4)^17

Crossrefs

Cf. A004418.

Sequence in context: A220588 A346262 A185356 * A008777 A306691 A354954

Adjacent sequences: A388150 A388151 A388152 * A388154 A388155 A388156

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved