A380735 Decimal expansion of the long/short edge length ratio of a disdyakis dodecahedron.

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

Offset

1,2

Comments

Apart from leading digits the same as A343069. - R. J. Mathar, Feb 03 2025

Links

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

Polytope Wiki, Disdyakis dodecahedron.

Eric Weisstein's World of Mathematics, Disdyakis Dodecahedron.

Wikipedia, Disdyakis dodecahedron.

Index entries for algebraic numbers, degree 2.

Formula

Equals (10 + sqrt(2))/7 = (10 + A002193)/7.

Minimal polynomial: 7*x^2 - 20*x + 14. - Amiram Eldar, Jun 05 2026

Example

1.630601937481870721257384103458528296938524553625...

Mathematica

First[RealDigits[(10 + Sqrt[2])/7, 10, 100]]

Prog

(PARI) (10 + sqrt(2))/7 \\ Charles R Greathouse IV, Feb 05 2025

Crossrefs

Cf. A380734 (medium/short edge length ratio).

Cf. A002193, A343069, A378393, A378712, A378713, A378714, A378715, A380736, A380737, A380738.

Sequence in context: A249733 A388213 A241532 * A196830 A206530 A333549

Adjacent sequences: A380732 A380733 A380734 * A380736 A380737 A380738

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jan 31 2025

Status

approved