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.

A084255 Decimal expansion of continued fraction 1/(2+1/(3+1/(5+1/(7+1/(11+...))))).

Original entry on oeis.org

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

Views

Author

Frank Ellermann, May 23 2003

Keywords

Comments

Decimal expansion of the constant whose continued fraction form is the sequence of all the prime numbers.

Examples

			0.4323320871859028689...

Links

Crossrefs

Cf. A000040, A084256, A084257, A152062

Programs

  • Mathematica
    RealDigits[1/FromContinuedFraction@ Prime@ Range@ 34, 10, 111] (* or *)
RealDigits[ Fold[1/(#1 + #2) &, 1, Reverse@ Prime@ Range@35], 10, 111] (* Robert G. Wilson v, Dec 26 2016 *)

Formula

1/A064442. - Franklin T. Adams-Watters, Jul 31 2009

A191608 Decimal expansion of number whose continued fraction is based on noncomposite numbers.

Original entry on oeis.org

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

Views

Author

Fabrice Auzanneau, Jun 08 2011

Keywords

Examples

			0.6981621154383939035335... = 1/(1+1/(2+1/(3+1/(5+1/(7+1/(11+1/(13+1/...))))))).

Formula

Equals 1/(1+A084255). - Nathaniel Johnston, Jun 08 2011
Equals 1/A152062. - R. J. Mathar, Jun 17 2011

Extensions

Corrected and extended by Nathaniel Johnston, Jun 08 2011

A330867 Decimal expansion of the continued fraction 1/(1 + 2/(2 + 3/(3 + 5/(5 + 7/(7 + ... + prime(k)/(prime(k) + ...)))))).

Original entry on oeis.org

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

Views

Author

Ilya Gutkovskiy, Apr 28 2020

Keywords

Examples

			0.58152500459221465439915170481800446195586754...

Links

Crossrefs

Cf. A000040, A064442, A068996, A073333, A084255, A085825, A152062, A191504, A191815, A233588, A247856.
Showing 1-3 of 3 results.

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

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