A388117 Decimal expansion of (1/4) * exp(5/8 * Pi) * Pi^(3/4) * 2^(7/8) / Gamma(3/4)^3.

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

Offset

1,1

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} A004024(k) / exp(k*Pi).

Example

4.1887794486390040851596545256877037101...

Mathematica

First[RealDigits[(-16*2^(7/8)*Pi^(3/4)*Exp[(5*Pi)/8])/Gamma[-1/4]^3, 10, 100]]

Prog

(PARI) (1/4) * exp(5/8 * Pi) * Pi^(3/4) * 2^(7/8) / gamma(3/4)^3

Crossrefs

Cf. A004024.

Sequence in context: A249252 A128414 A192014 * A019699 A389030 A125092

Adjacent sequences: A388114 A388115 A388116 * A388118 A388119 A388120

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved