OFFSET
1,2
COMMENTS
This constant is the greater limit to the value of sqrt(3) used by Archimedes in the calculation of Pi.
REFERENCES
Ernst Sondheimer and Alan Rogerson, Numbers and Infinity, Cambridge University Press, 1981, p. 97.
LINKS
MathPages, Archimedes and the square root of 3
Index entries for linear recurrences with constant coefficients, signature (1,-1,1,-1,1).
FORMULA
From Chai Wah Wu, Apr 18 2024: (Start)
a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) for n > 8.
G.f.: x*(-5*x^7 + 10*x^6 - 10*x^5 + 5*x^4 - 5*x^3 + 3*x^2 - 6*x - 1)/((x - 1)*(x^2 - x + 1)*(x^2 + x + 1)). (End)
EXAMPLE
1.732051282051282051282051282051282051282...
MATHEMATICA
First[RealDigits[N[1351/780, 88]]]
CROSSREFS
KEYWORD
AUTHOR
Stefano Spezia, Jul 14 2022
STATUS
approved