A388152 Decimal expansion of Gamma(3/4)^16 / Pi^4.

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

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} A004417(k) / exp(k*Pi).

Example

0.26542463997395882869137110033229666754...

Mathematica

First[RealDigits[Gamma[3/4]^16/Pi^4, 10, 100]]

Prog

(PARI) 1 / Pi^4 * gamma(3/4)^16

Crossrefs

Cf. A004417.

Sequence in context: A359858 A372060 A198821 * A171897 A105029 A309040

Adjacent sequences: A388149 A388150 A388151 * A388153 A388154 A388155

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved