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.

A005534 Decimal expansion of fifth root of 5.

Original entry on oeis.org

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

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Author

N. J. A. Sloane

Keywords

Comments

Fifth root of 5 = 5^(1/5). - Harry J. Smith, May 10 2009

Examples

			1.379729661461214832390063464216017692855649877977606121772737674791506....

References

  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A002951 (continued fraction). - Harry J. Smith, May 10 2009

Programs

  • Mathematica
    RealDigits[N[5^(1/5),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 22 2012 *)
  • PARI
    { default(realprecision, 20080); x=5^(1/5); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b005534.txt", n, " ", d)); } \\ Harry J. Smith, May 10 2009

A002363 Denominators of continued fraction convergents to fifth root of 5.

Original entry on oeis.org

1, 2, 3, 5, 8, 21, 29, 79, 661, 740, 19161, 19901, 118666, 138567, 3167140, 3305707, 29612796, 32918503, 62531299, 595700194, 658231493, 1253931687, 5673958241, 6927889928, 19529738097, 26457628025, 72444994147, 98902622172, 270250238491, 639403099154
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

References

  • D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
  • P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Numerators in A002364.
Cf. A002951, A005534.

Programs

  • Maple
    numtheory:-cfrac(5^(1/5),1000,'con'):
map(denom,con); # Robert Israel, May 13 2018
  • Mathematica
    Denominator[Convergents[Surd[5,5],30]] (* Harvey P. Dale, Jul 16 2016 *)

Extensions

More terms from Herman P. Robinson
More terms from Harvey P. Dale, Jul 16 2016
Offset changed by Andrew Howroyd, Jul 05 2024

A002364 Numerators of continued fraction convergents to fifth root of 5.

Original entry on oeis.org

1, 3, 4, 7, 11, 29, 40, 109, 912, 1021, 26437, 27458, 163727, 191185, 4369797, 4560982, 40857653, 45418635, 86276288, 821905227, 908181515, 1730086742, 7828528483, 9558615225, 26945758933, 36504374158, 99954507249, 136458881407, 372872270063, 882203421533
Offset: 0

Views

Author

N. J. A. Sloane, Herman P. Robinson

Keywords

References

  • D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
  • P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A002363 (denominators), A002951 A005534.

Programs

  • Mathematica
    Numerator[Convergents[Surd[5,5],30]] (* Harvey P. Dale, Dec 06 2015 *)

Extensions

Definition clarified by and more terms from Harvey P. Dale, Dec 06 2015
Offset changed by Andrew Howroyd, Jul 05 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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