A242072 Decimal expansion of the value of the continued fraction constructed from Mersenne primes.

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

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-François Alcover, Oct 01 2014

Status

approved