A179451 Decimal expansion of the surface area of an icosidodecahedron with side length 1.

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

Offset

2,1

Comments

Icosidodecahedron: 32 faces, 30 vertices, and 60 edges.

Links

Table of n, a(n) for n=2..106.

Index entries for algebraic numbers, degree 8

Formula

Sqrt(30*(10+3*sqrt(5)+sqrt(75+30*sqrt(5))))

Example

29.3059828449119895407453754361926770276025163091742830907641713815460...

Mathematica

RealDigits[N[Sqrt[30*(10+3*Sqrt[5]+Sqrt[75+30*Sqrt[5]])], 200]]

Prog

(PARI) polrootsreal(x^8 - 1200*x^6 + 324000*x^4 - 27000000*x^2 + 324000000)[8] \\ Charles R Greathouse IV, Oct 30 2023

Crossrefs

Cf. A010527, A102208, A179290, A179292, A179294, A179449, A179450.

Sequence in context: A345299 A276048 A339203 * A124918 A348763 A011240

Adjacent sequences: A179448 A179449 A179450 * A179452 A179453 A179454

Keyword

nonn,cons,easy

Author

Vladimir Joseph Stephan Orlovsky, Jul 14 2010

Extensions

Partially rewritten by Charles R Greathouse IV, Feb 03 2011

Status

approved