A388174 Decimal expansion of (15/4) * exp(3/4 * Pi) * Pi^(7/4) * 2^(1/4) / Gamma(3/4)^7.

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

Offset

2,1

Links

Table of n, a(n) for n=2..88.

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

Formula

Empirical: Equals Sum_{k>=0} A005931(k) / exp(k*Pi).

Example

84.061423648437965574829788283417285823...

Mathematica

First[RealDigits[(15*Pi^(7/4)*Exp[(3*Pi)/4])/(2*2^(3/4)*Gamma[3/4]^7), 10, 100]]

Prog

(PARI) (15/4) * exp(3/4 * Pi) * Pi^(7/4) * 2^(1/4) / gamma(3/4)^7

Crossrefs

Cf. A005931.

Sequence in context: A364945 A354632 A114313 * A096616 A151558 A103613

Adjacent sequences: A388171 A388172 A388173 * A388175 A388176 A388177

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved