A388512 Decimal expansion of exp(-Pi/24) * 2^(1/16) / (2-sqrt(2))^(1/4).

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

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} A108961(k) / exp(k*Pi).

Example

1.04720216609016070074401051505527004298850587556118150654175643801125564938054....

Mathematica

First[RealDigits[(2 + 3/Sqrt[2])^(1/8)*Exp[-1/24*Pi], 10, 100]]

Prog

(PARI) exp(-1/24 * Pi) * 2^(1/16) / (2-2^(1/2))^(1/4)

Crossrefs

Cf. A108961.

Sequence in context: A363746 A257817 A387194 * A246710 A388094 A388461

Adjacent sequences: A388509 A388510 A388511 * A388513 A388514 A388515

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved