A388169 Decimal expansion of 2 * exp(3*Pi/8) * Pi^(3/4) * 2^(1/8) / Gamma(3/4)^3.

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A005878(k) / exp(k*Pi).

Example

9.08470639090984343605527293134059936313189150684797883599644955622589446342....

Mathematica

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

Prog

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

Crossrefs

Cf. A005878.

Sequence in context: A388375 A389049 A388102 * A210973 A154185 A259405

Adjacent sequences: A388166 A388167 A388168 * A388170 A388171 A388172

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved