A179588 Decimal expansion of the surface area of square cupola with edge length 1.

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

Offset

2,3

Comments

Square cupola: 12 vertices, 20 edges, and 10 faces.

Links

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

Polytope Wiki, Square cupola.

Eric Weisstein's World of Mathematics, Square Cupola.

Wikipedia, Square cupola.

Wolfram Alpha, Johnson solid 4.

Index entries for algebraic numbers, degree 4.

Formula

Equals 7 + 2*sqrt(2) + sqrt(3).

Minimal polynomial: x^4 - 28*x^3 + 272*x^2 - 1064*x + 1348. - Amiram Eldar, May 12 2026

Example

11.56047793231506739113082378992526852408214900456427677440...

Mathematica

RealDigits[N[7+2*Sqrt[2]+Sqrt[3], 200]]

Crossrefs

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

Sequence in context: A375957 A242055 A178591 * A092161 A394810 A088602

Adjacent sequences: A179585 A179586 A179587 * A179589 A179590 A179591

Keyword

nonn,cons,easy

Author

Vladimir Joseph Stephan Orlovsky, Jul 19 2010

Status

approved