A388669 Decimal expansion of ((3+sqrt(5))^(1/4) * exp(Pi / 4)) / sqrt(10).

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

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} A145722(k) / exp(k*Pi).

Example

1.04916889751417602721169394166701323866553725144386175407985093249236559397....

Mathematica

First[RealDigits[((3 + Sqrt[5])^(1/4)*Exp[Pi/4])/Sqrt[10], 10, 100]]

Prog

(PARI) (1/100) * exp(Pi / 4) * 2^(19/20) * 5^(3/4) * gamma(9/10) * gamma(7/10) * (5+5^(1/2)) / gamma(4/5)^2

Crossrefs

Cf. A145722.

Sequence in context: A001191 A388491 A388962 * A387213 A120865 A219031

Adjacent sequences: A388666 A388667 A388668 * A388670 A388671 A388672

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved