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

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

Author

Jean-François Alcover, Jun 03 2014

Keywords

• nonn
• cons
• easy

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.

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10001
• Eric Weisstein's MathWorld, Prince Rupert's Cube.

Crossrefs

Cf. A093577, A243309.

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).