A344077 Decimal expansion of 3 + 11*sqrt(3)/2.

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

Offset

2,2

Comments

The surface area of a gyroelongated triangular cupola with unit edge length whose faces are all regular.

Links

Table of n, a(n) for n=2..100.

Polytope Wiki, Gyroelongated triangular cupola.

Eric Weisstein's World of Mathematics, Gyroelongated Triangular Cupola.

Wikipedia, Gyroelongated triangular cupola.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 4*x^2 - 24*x - 327. - Amiram Eldar, Jun 05 2026

Example

12.5262794416288251144...

Mathematica

RealDigits[3 + 11 Sqrt[3]/2, 10, 200][[1]]

Prog

(PARI) 3+11*sqrt(3)/2 \\ Charles R Greathouse IV, May 18 2026

Crossrefs

Cf. A344076 (gyroelongated triangular cupola volume).

Sequence in context: A195702 A309714 A309431 * A198539 A391314 A121311

Adjacent sequences: A344074 A344075 A344076 * A344078 A344079 A344080

Keyword

cons,nonn,changed

Author

Wesley Ivan Hurt, May 08 2021

Status

approved