OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.19 Circumradius-Inradius Constants, p. 535.
FORMULA
Smallest positive root of the polynomial given in the Mathematica code.
EXAMPLE
0.2440155280941711153813744336812161242644369887...
MATHEMATICA
a[F5] = Root[5*x^8 - 175*x^7 + 611*x^6 - 816*x^5 + 720*x^4 - 280*x^3 + 160*x^2 - 96*x + 16, x, 1]; RealDigits[a[F5], 10, 101] // First
PROG
(PARI) solve(x=0, 1/4, 5*x^8 - 175*x^7 + 611*x^6 - 816*x^5 + 720*x^4 - 280*x^3 + 160*x^2 - 96*x + 16) \\ Michel Marcus, Sep 19 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Sep 19 2014
STATUS
approved