A388934 Decimal expansion of ((7-3 * sqrt(5))^(1/8) * exp((3 * Pi) / 8)) / (2^(1/4) * sqrt(5)).

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

Offset

1,3

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} A261776(k) / exp(k*Pi).

Example

1.0472094700460183470343370558809913335...

Mathematica

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

Prog

(PARI) (1/10) * exp(3/8 * Pi) * 2^(27/40) * 5^(1/4) * gamma(4/5)^2 * (5/8-1/8*5^(1/2)) * (5^(1/2)-1) * (5^(1/2)+1) / gamma(9/10) / gamma(7/10)

Crossrefs

Cf. A261776.

Sequence in context: A388909 A388933 A388692 * A387545 A388800 A388812

Adjacent sequences: A388931 A388932 A388933 * A388935 A388936 A388937

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved