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Revision History for A242072

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A242072

Decimal expansion of the value of the continued fraction constructed from Mersenne primes.
(history; published version)

#55 by OEIS Server at Sun Nov 30 15:22:46 EST 2014

LINKS

Jean-Francois Alcover, <a href="/A242072/b242072_2.txt">Table of n, a(n) for n = 0..103</a>

#54 by R. J. Mathar at Sun Nov 30 15:22:46 EST 2014

STATUS

editing

approved

Discussion

Sun Nov 30

15:22

OEIS Server: Installed new b-file as b242072.txt.  Old b-file is now b242072_2.txt.

#53 by R. J. Mathar at Sun Nov 30 15:22:40 EST 2014

LINKS

Jean-Francois Alcover, <a href="/A242072/b242072_2.txt">Table of n, a(n) for n = 0..103</a>

STATUS

approved

editing

#52 by Peter Luschny at Wed Oct 01 15:26:10 EDT 2014

STATUS

reviewed

approved

#51 by Vaclav Kotesovec at Wed Oct 01 14:21:23 EDT 2014

STATUS

proposed

reviewed

#50 by Jean-François Alcover at Wed Oct 01 04:19:44 EDT 2014

STATUS

editing

proposed

#49 by Jean-François Alcover at Wed Oct 01 04:18:59 EDT 2014

NAME

allocated for Jean-François Alcover

Decimal expansion of the value of the continued fraction constructed from Mersenne primes.

DATA

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

OFFSET

0,1

LINKS

C. K. Caldwell, <a href="http://www.utm.edu/research/primes/mersenne/index.html">Mersenne Primes</a>

Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/MersennePrime.html">Mersenne Prime</a>

Marek Wolf, <a href="http://arxiv.org/abs/1003.4015">"Continued fractions constructed from prime numbers"</a> arXiv:1003.4015 [math.NT] Sep 26 2010, p. 12.

EXAMPLE

0.318248158405844869425962027481406942438062365640684884...

MATHEMATICA

(* The first 9 Mersenne primes suffice to get 104 correct digits *) MersennePrimes = Select[2^Prime[Range[18]] - 1, PrimeQ]; u = FromContinuedFraction[Join[{0}, MersennePrimes]]; RealDigits[u, 10, 104] // First

CROSSREFS

Cf. A000043 (the main entry for this sequence), A028335, A000668, A247864.

KEYWORD

allocated

nonn,cons

AUTHOR

Jean-François Alcover, Oct 01 2014

STATUS

approved

editing

#48 by Jean-François Alcover at Wed Oct 01 04:18:59 EDT 2014

NAME

allocated for Jean-François Alcover

KEYWORD

recycled

allocated

#47 by N. J. A. Sloane at Wed Oct 01 00:19:05 EDT 2014

STATUS

editing

approved

#46 by N. J. A. Sloane at Wed Oct 01 00:19:03 EDT 2014

NAME

allocated for Harvey P. Dale

KEYWORD

allocated

recycled

STATUS

approved

editing