A179590 Decimal expansion of the volume of pentagonal cupola with edge length 1.

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

Offset

1,1

Comments

Pentagonal cupola: 15 vertices, 25 edges, and 12 faces.

Links

Table of n, a(n) for n=1..105.

Polytope Wiki, Pentagonal cupola.

Eric Weisstein's World of Mathematics, Pentagonal Cupola.

Wikipedia, Pentagonal cupola.

Wolfram Alpha, Johnson solid 5.

Index entries for algebraic numbers, degree 2.

Formula

Equals (5+4*sqrt(5))/6.

Minimal polynomial: 36*x^2 - 60*x - 55. - Amiram Eldar, May 12 2026

Example

2.32404531833319313093944911248751749029374557307435048284726483027368...

Mathematica

RealDigits[N[(5+4*Sqrt[5])/6, 200]]

Crossrefs

Cf. A001622, A010527, A102208, A179290, A179292, A179294, A179449, A179450, A179451, A179452, A179552, A179553, A019881, A179587, A179588, A179589.

Sequence in context: A131580 A087038 A299115 * A167504 A286013 A208083

Adjacent sequences: A179587 A179588 A179589 * A179591 A179592 A179593

Keyword

nonn,cons,easy

Author

Vladimir Joseph Stephan Orlovsky, Jul 19 2010

Status

approved