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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A243313 Decimal expansion of a 5-dimensional analog of DeVicci's tesseract constant.

Original entry on oeis.org

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

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Author

Jean-François Alcover, Jun 03 2014

Keywords

Comments

This constant is the edge length of the largest 3-dimensional cube that can be inscribed within a unit 5-dimensional cube.
Also, the smallest positive root in x^4 - 22*x^2 + 25 = 0.

Examples

			1.0963763171773128040759311069135237901965384969435155182975524965...
		

References

  • Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.14 DeVicci's tesseract constant, p. 525.

Crossrefs

Programs

  • Mathematica
    RealDigits[Sqrt[11-4*Sqrt[6]], 10, 104] // First
  • PARI
    2*sqrt(2)-sqrt(3) \\ Stefano Spezia, Dec 24 2024

Formula

Equals sqrt(11-4*sqrt(6)) = 2*sqrt(2)-sqrt(3).
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