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.

Previous Showing 21-25 of 25 results.

A155830 Decimal expansion of log_10 (23).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.3617278360175928788677771122511895496975110343360961882756...

Links

Crossrefs

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), this sequence, A155979 (m=24).

Programs

A155979 Decimal expansion of log_10 (24).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.3802112417116060229362445874285943895046985085770214887611...

Links

Crossrefs

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23).

Programs

A082571 Continued fraction expansion of common logarithm of 7 = log_10 7.

Original entry on oeis.org

0, 1, 5, 2, 5, 6, 1, 4813, 1, 1, 2, 2, 2, 1, 1, 1, 6, 5, 1, 83, 7, 2, 1, 1, 1, 8, 5, 21, 1, 1, 3, 2, 1, 4, 2, 3, 14, 2, 6, 1, 1, 5, 2, 1, 2, 4, 26, 2, 6, 1, 5, 1, 1, 2, 2, 3, 6, 2, 2, 103, 2, 2, 1084, 1, 1, 1, 1, 12, 1, 8, 5, 1, 3, 4, 1, 4, 1, 8, 3, 2, 4, 3, 32, 1, 1, 2, 1, 2, 1, 1, 2, 1, 6, 1, 3, 4, 2, 2, 23
Offset: 0

Views

Author

Donald S. McDonald, May 12 2003

Keywords

Comments

The successive convergents are 0, 1, 5/6, 11/13, 60/71, 371/439, 431/510, ...

References

  • David M Wells, Penguin Dictionary of Curious and Interesting Numbers, Rev. Ed., 1997 (Entry 510).

Crossrefs

Cf. A153620.

Programs

  • Maple
    convert( evalf( log10 (7)), confrac, cvgt)
  • Mathematica
    ContinuedFraction[Log[10, 7], 100] (* Ray Chandler, May 03 2007 *)

Extensions

Extended by Ray Chandler, May 03 2007

A215755 Denominators of the continued fraction convergents of log_10(7).

Original entry on oeis.org

1, 1, 6, 13, 71, 439, 510, 2455069, 2455579, 4910648, 12276875, 29464398, 71205671, 100670069, 171875740, 272545809, 1807150594, 9308298779, 11115449373, 931890596738, 6534349626539, 14000589849816, 20534939476355, 34535529326171, 55070468802526, 475099279746379, 2430566867534421
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Comments

7^a(n) gets increasingly close to 10^(numerator of convergent).

Crossrefs

Numerators are in A215759.
Cf. A046104, A073733, A082571, A153620.

Programs

  • Mathematica
    Rest[Denominator[Convergents[Log[10,7],30]]] (* Harvey P. Dale, Aug 23 2013 *)
  • PARI
    {my(cf=contfrac(log(7)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}

Extensions

a(0)=1 prepended by Andrew Howroyd, Jul 09 2024

A215759 Numerators of the continued fraction convergents of log_10(7).

Original entry on oeis.org

0, 1, 5, 11, 60, 371, 431, 2074774, 2075205, 4149979, 10375163, 24900305, 60175773, 85076078, 145251851, 230327929, 1527219425, 7866425054, 9393644479, 787538916811, 5522166062156, 11831871041123, 17354037103279, 29185908144402, 46539945247681, 401505470125850, 2054067295876931
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Comments

7^(denominator of convergent) gets increasingly close to 10^a(n), agreeing to approximately a(n) digits

Crossrefs

Denominators are in A215755.
Cf. A046104, A073733, A082571, A153620.

Programs

  • Mathematica
    Rest[Numerator[Convergents[Log[10,7],30]]] (* Harvey P. Dale, Feb 16 2014 *)
  • PARI
    {my(cf=contfrac(log(7)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[1, 1])}

Extensions

a(0)=0 prepended by Andrew Howroyd, Jul 09 2024
Previous Showing 21-25 of 25 results.

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

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