cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A375743 Decimal expansion of 30547/21600.

Original entry on oeis.org

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

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Author

Stefano Spezia, Aug 26 2024

Keywords

Comments

Babylonian approximation of sqrt(2) accurate to fifth decimal digit.
Wells erroneously gives the value: 1.4142155... .
Periodic of period 3.

Examples

			1.41421296296296296296296296296296296296...
		

References

  • John H. Conway and Richard K. Guy, The Book of Numbers, New York: Springer-Verlag, 1996. See p. 182.
  • David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See pp. 34-35.

Crossrefs

Programs

  • Mathematica
    RealDigits[30547/21600,10,100][[1]]

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).
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