A362695 Decimal expansion of (3 - sqrt(3))/4.

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

Offset

0,1

Comments

Consider the optimal packing of 2 identical spheres in a cube of edge length 1. The radius of both spheres is (3 - sqrt(3))/4 = 0.3169872....

Links

Table of n, a(n) for n=0..86.

Packomania, The best known packings of equal spheres in a cube.

Stack Exchange, Two Sphere [sic] inside a cube.

Index entries for algebraic numbers, degree 2.

Example

0.3169872981077806766181384146235...

Mathematica

RealDigits[(3 - Sqrt[3])/4, 10, 120][[1]] (* Amiram Eldar, Jun 25 2023 *)

Prog

(PARI) (3-sqrt(3))/4 \\ Charles R Greathouse IV, May 19 2026

Crossrefs

Sequence in context: A008573 A089710 A065918 * A020861 A163213 A095066

Adjacent sequences: A362692 A362693 A362694 * A362696 A362697 A362698

Keyword

nonn,cons

Author

Jodi Spitz, Apr 29 2023

Status

approved