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A375743
Decimal expansion of 30547/21600.
0
1, 4, 1, 4, 2, 1, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2, 9, 6, 2
OFFSET
1,2
COMMENTS
Babylonian approximation of sqrt(2) accurate to fifth decimal digit.
Wells erroneously gives the value: 1.4142155... .
Periodic of period 3.
REFERENCES
David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See pp. 34-35.
FORMULA
Equals 1 + 24/60 + 51/60^2 + 10/60^3. See Wells.
G.f.: (1 + 4*x + x^2 + 3*x^3 - 2*x^4 - 2*x^6 + 7*x^7 + 5*x^8)/(1 - x^3).
EXAMPLE
1.41421296296296296296296296296296296296...
MATHEMATICA
RealDigits[30547/21600, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
Stefano Spezia, Aug 26 2024
STATUS
approved