A388748 Decimal expansion of (1/8) * exp(Pi / 2) * Pi^3 / Gamma(3/4)^12.

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

Offset

1,2

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} A209676(k) / exp(k*Pi).

Example

1.6260813253864729073004449378886877068...

Mathematica

First[RealDigits[(Pi^3*Exp[Pi/2])/(8*Gamma[3/4]^12), 10, 100]]

Prog

(PARI) (1/8) * exp(Pi / 2) * Pi^3 / gamma(3/4)^12

Crossrefs

Cf. A209676.

Sequence in context: A021619 A308718 A107496 * A318333 A318385 A319262

Adjacent sequences: A388745 A388746 A388747 * A388749 A388750 A388751

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved