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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 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-François Alcover, Jun 03 2014 STATUS approved

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