cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A354249 Decimal expansion of 27*sqrt(3) / (2*Pi).

Original entry on oeis.org

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

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Author

Bernard Schott, May 20 2022

Keywords

Comments

For any triangle ABC (see Crux Mathematicorum):
(sin(A) + sin(B) + sin(C)) * (1/A + 1/B + 1/C) >= 27*sqrt(3) / (2*Pi),
where (A,B,C) are the angles in radians.
Equality stands iff triangle ABC is equilateral.

Examples

			7.442940088194192668402907727...
		

Crossrefs

Programs

  • Maple
    evalf(27*sqrt(3)/(2*Pi),110);
  • Mathematica
    RealDigits[(27*Sqrt[3]/(2*Pi)), 10, 110][[1]] (* Amiram Eldar, May 21 2022; corrected by Georg Fischer, Aug 04 2024 *)

Formula

Equals A010527 * A132717.

Extensions

a(100) corrected by Georg Fischer, Aug 04 2024
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