login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A242072 Decimal expansion of the value of the continued fraction constructed from Mersenne primes. 3
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Jean-Francois Alcover, Table of n, a(n) for n = 0..103

C. K. Caldwell, Mersenne Primes

Eric Weisstein's MathWorld, Mersenne Prime

Marek Wolf, "Continued fractions constructed from prime numbers" 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.

Sequence in context: A143291 A258043 A200064 * A248584 A077111 A073072

Adjacent sequences:  A242069 A242070 A242071 * A242073 A242074 A242075

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Oct 01 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 30 14:57 EDT 2020. Contains 337439 sequences. (Running on oeis4.)