A389012 Decimal expansion of exp(Pi / 4) / (3^(3/8) * (2 * (1+sqrt(3)))^(1/6)).

1, 0, 9, 4, 5, 9, 5, 9, 1, 5, 9, 1, 1, 4, 5, 0, 0, 1, 2, 1, 0, 7, 3, 7, 1, 9, 9, 2, 8, 9, 4, 9, 1, 8, 6, 3, 9, 0, 3, 6, 8, 5, 8, 6, 8, 6, 9, 7, 6, 2, 9, 9, 2, 2, 6, 1, 4, 6, 6, 6, 6, 4, 7, 2, 9, 1, 4, 1, 6, 2, 7, 8, 4, 0, 3, 1, 8, 7, 4, 8, 5, 0, 5, 6, 5, 7, 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} A280874(k) / exp(k*Pi).

Example

1.0945959159114500121073719928949186390...

Mathematica

First[RealDigits[Exp[Pi/4]/(3^(3/8)*(2*(1 + Sqrt[3]))^(1/6)), 10, 100]]

Prog

(PARI) (1/6) * exp(Pi / 4) * 2^(11/12) * 3^(5/8) / (2^(1/2) * (1+3^(1/2)))^(1/6)

Crossrefs

Cf. A280874.

Sequence in context: A388499 A382013 A016630 * A388242 A374490 A388706

Adjacent sequences: A389009 A389010 A389011 * A389013 A389014 A389015

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved