A133077 Decimal expansion of smallest disk radius for which five equal disks can cover the unit disk.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.2 p. 484.

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

Eric Weisstein's World of Mathematics, Disk Covering Problem.

Index entries for algebraic numbers, degree 8.

Example

0.60938286408070965467...

Mathematica

Root[1296*x^8 + 2112*x^7 - 3480*x^6 + 1360*x^5 + 1665*x^4 - 1776*x^3 + 22*x^2 - 800*x + 625, x, 3] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, May 19 2014 *)

Prog

(PARI)  polrootsreal(1296*x^8 +2112*x^7 -3480*x^6 +1360*x^5 +1665*x^4 -1776*x^3 +22*x^2 -800*x +625)[3] \\ Charles R Greathouse IV, Apr 14 2014

Crossrefs

Sequence in context: A248681 A232815 A323606 * A200124 A016628 A112246

Adjacent sequences: A133074 A133075 A133076 * A133078 A133079 A133080

Keyword

nonn,cons,changed

Author

Eric W. Weisstein, Sep 08 2007

Status

approved