A370944 Decimal expansion of ((1+sqrt(5))/2)*sqrt(3) = A001622*A002194.

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

Offset

1,1

Comments

Long space diagonal of a regular dodecahedron with unit edges.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Matt Parker, The Five Compound Platonic Solids, YouTube video, 2024.

Formula

Equals 2*A179296. - Hugo Pfoertner, Mar 07 2024

Example

2.80251707688814708935335587064413598888786347955...

Maple

(sqrt(3) + sqrt(15))/2: evalf(%, 86);  # Peter Luschny, Mar 07 2024

Mathematica

First[RealDigits[GoldenRatio*Sqrt[3], 10, 100]]

Crossrefs

Cf. A001622, A002194.

Cf. A094887 (short diagonal), A104457 (medium diagonal).

Sequence in context: A088153 A259173 A010594 * A093588 A369499 A016593

Adjacent sequences: A370941 A370942 A370943 * A370945 A370946 A370947

Keyword

nonn,cons

Author

Paolo Xausa, Mar 07 2024

Status

approved