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A243309 Decimal expansion of DeVicci's tesseract constant. 1
1, 0, 0, 7, 4, 3, 4, 7, 5, 6, 8, 8, 4, 2, 7, 9, 3, 7, 6, 0, 9, 8, 2, 5, 3, 5, 9, 5, 2, 3, 1, 0, 9, 9, 1, 4, 1, 9, 2, 5, 6, 9, 0, 1, 1, 4, 1, 1, 3, 6, 6, 9, 7, 7, 0, 2, 3, 4, 9, 6, 3, 7, 9, 8, 5, 7, 1, 1, 5, 2, 3, 1, 3, 2, 8, 0, 2, 8, 6, 7, 7, 7, 9, 6, 2, 5, 2, 0, 5, 5, 1, 4, 7, 4, 6, 3, 5, 9, 2, 3, 9, 4, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

This "tesseract" constant is the edge length of the largest 3-dimensional cube that can be inscribed within a unit 4-dimensional cube.

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.14 DeVicci's tesseract constant, p. 524.

LINKS

Table of n, a(n) for n=1..103.

Eric Weisstein's MathWorld, Prince Rupert's Cube

FORMULA

Positive root of the polynomial 4*x^8 - 28*x^6 - 7*x^4 + 16*x^2 + 16.

EXAMPLE

1.00743475688427937609825359523109914192569...

MATHEMATICA

Root[4*x^8 - 28*x^6 - 7*x^4 + 16*x^2 + 16, x, 3] // RealDigits[#, 10, 103]& // First

PROG

(PARI) polrootsreal(4*x^8-28*x^6-7*x^4+16*x^2+16)[3] \\ Charles R Greathouse IV, Apr 07 2016

(PARI) sqrt(polrootsreal(Pol([4, -28, -7, 16, 16]))[1]) \\ Charles R Greathouse IV, Apr 07 2016

CROSSREFS

Cf. A093577.

Sequence in context: A019857 A296474 A194705 * A244817 A303612 A306555

Adjacent sequences:  A243306 A243307 A243308 * A243310 A243311 A243312

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Jun 03 2014

STATUS

approved

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Last modified October 20 20:13 EDT 2019. Contains 328272 sequences. (Running on oeis4.)