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

1,3

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.

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.

Formula

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

Example

1.0963763171773128040759311069135237901965384969435155182975524965...

Mathematica

RealDigits[Sqrt[11-4*Sqrt[6]], 10, 104] // First

Prog

(PARI) 2*sqrt(2)-sqrt(3) \\ Stefano Spezia, Dec 24 2024

Crossrefs

Cf. A093577, A243309.

Sequence in context: A020759 A226582 A276538 * A259469 A241993 A099817

Adjacent sequences: A243310 A243311 A243312 * A243314 A243315 A243316

Keyword

nonn,cons,easy,changed

Author

Jean-François Alcover, Jun 03 2014

Status

approved