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A355674
Decimal expansion of 1351/780.
1
1, 7, 3, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2
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.
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
Cf. A002194, A355673 (lesser limit), essentially the same as A021316.
Sequence in context: A355673 A160390 A002194 * A256843 A033327 A024584
KEYWORD
nonn,cons,easy
AUTHOR
Stefano Spezia, Jul 14 2022
STATUS
approved