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.

Showing 1-3 of 3 results.

A368617 Decimal expansion of 878/323.

Original entry on oeis.org

2, 7, 1, 8, 2, 6, 6, 2, 5, 3, 8, 6, 9, 9, 6, 9, 0, 4, 0, 2, 4, 7, 6, 7, 8, 0, 1, 8, 5, 7, 5, 8, 5, 1, 3, 9, 3, 1, 8, 8, 8, 5, 4, 4, 8, 9, 1, 6, 4, 0, 8, 6, 6, 8, 7, 3, 0, 6, 5, 0, 1, 5, 4, 7, 9, 8, 7, 6, 1, 6, 0, 9, 9, 0, 7, 1, 2, 0, 7, 4, 3, 0, 3, 4, 0, 5, 5, 7
Offset: 1

Views

Author

Stefano Spezia, Jan 01 2024

Keywords

Comments

Using the criterion of the minimum absolute difference, it is the closest rational approximation of e (cf. A001113) using integers below 1000 (see Maor).
The numerator and the denominator of 878/323 are palindromes in base 10 (cf. A002113).
It has period 144.

Examples

			2.7182662538699690402476780...

References

  • Eli Maor, e: The Story of a Number. Princeton, New Jersey: Princeton University Press (1994), p. 37.
  • David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 46.

Links

Crossrefs

Cf. A001113, A002113, A007676, A007677, A368653, A368654, A368656.
Cf. A368618, A368619, A368620, A368621.

Programs

  • Mathematica
    Flatten[First[RealDigits[878/323,10]]]

Formula

Equals A368618(3)/A368619(3) = A368620(3)/A368621(3).

A368653 Decimal expansion of 58291/21444.

Original entry on oeis.org

2, 7, 1, 8, 2, 8, 9, 4, 9, 8, 2, 2, 7, 9, 4, 2, 5, 4, 8, 0, 3, 2, 0, 8, 3, 5, 6, 6, 4, 9, 8, 7, 8, 7, 5, 3, 9, 6, 3, 8, 1, 2, 7, 2, 1, 5, 0, 7, 1, 8, 1, 4, 9, 5, 9, 8, 9, 5, 5, 4, 1, 8, 7, 6, 5, 1, 5, 5, 7, 5, 4, 5, 2, 3, 4, 0, 9, 8, 1, 1, 6, 0, 2, 3, 1, 3, 0, 0
Offset: 1

Views

Author

Stefano Spezia, Jan 02 2024

Keywords

Comments

It is a rational approximation of e having an error less than 0.0003% provided by Charles Hermite in 1874 (see Hermite and Maor), where the error is calculated by abs(58291/21444-e)/e and expressed in percent.
Periodic with a period length of 893. - Ray Chandler, Jan 19 2024

Examples

			2.7182894982279425480320835664987875396381272...

References

  • Eli Maor, e: The Story of a Number. Princeton, New Jersey: Princeton University Press (1994), p. 189.

Links

Crossrefs

Cf. A001113, A007676, A007677, A368617, A368654, A368656.

Programs

  • Mathematica
    Flatten[First[RealDigits[58291/21444,10,100]]]

A368656 Decimal expansion of 271801/99990.

Original entry on oeis.org

2, 7, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8
Offset: 1

Views

Author

Stefano Spezia, Jan 02 2024

Keywords

Comments

Periodic with a period length of 4. - Ray Chandler, Jan 19 2024

Examples

			2.718281828182818281828182818281828182818281828...

References

  • Eli Maor, e: The Story of a Number. Princeton, New Jersey: Princeton University Press (1994), p. 37.

Links

Crossrefs

Cf. A001113, A007676, A007677, A368617, A368653, A368654.

Programs

  • Mathematica
    Flatten[First[RealDigits[271801/99990,10,100]]]

Formula

G.f.: x*(-x^5 - 8*x^3 - x^2 - 7*x - 2)/(x^4 - 1). - Chai Wah Wu, Jan 04 2024
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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