A388755 Decimal expansion of ((-2+sqrt(5)) * exp(Pi)) / 5.

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

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} A210458(k) / exp(k*Pi).

Example

1.0925553015528971334712038843905125363...

Mathematica

First[RealDigits[((-2 + Sqrt[5])*Exp[Pi])/5, 10, 100]]

Prog

(PARI) (1/131072000) * exp(Pi) * 2^(4/5) * 5^(1/2) * gamma(4/5)^12 * (5-5^(1/2))^6 * (5^(1/2)-1)^6 * (5^(1/2)+1)^6 / gamma(9/10)^6 / gamma(7/10)^6

Crossrefs

Cf. A210458.

Sequence in context: A388923 A389013 A388497 * A388950 A378388 A082831

Adjacent sequences: A388752 A388753 A388754 * A388756 A388757 A388758

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved