A388150 Decimal expansion of Gamma(3/4)^14 / Pi^(7/2).

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

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} A004415(k) / exp(k*Pi).

Example

0.31329147854049424326193463266872132023...

Mathematica

First[RealDigits[Gamma[3/4]^14/Pi^(7/2), 10, 100]]

Prog

(PARI) 1 / Pi^(7/2) * gamma(3/4)^14

Crossrefs

Cf. A004415.

Sequence in context: A354151 A248947 A133916 * A058589 A112164 A300580

Adjacent sequences: A388147 A388148 A388149 * A388151 A388152 A388153

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved