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A209601 Continued fraction expansion of the sum of the reciprocals of the Mersenne primes (A000668). 3
1, 1, 14, 1, 2, 3, 1, 3, 2, 5, 194, 1, 14, 1, 2, 2, 2, 40, 1, 1, 1, 4, 4, 1, 5, 1, 4, 4, 1, 3, 18, 1, 1, 7, 28, 2, 5, 1, 4, 13, 3, 2, 2, 3, 9, 2, 3, 6, 1, 3, 3, 3, 3, 1, 1, 3, 8, 1, 184, 3, 2, 1, 1, 1, 3, 1, 1, 12, 1, 10, 2, 3, 2, 6, 18, 1, 1, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

MATHEMATICA

ContinuedFraction[Total[1/(2^MersennePrimeExponent[Range[30]]-1)], 80] (* Harvey P. Dale, Aug 09 2021 *)

PROG

(PARI) isM(p)=my(m=Mod(4, 2^p-1)); for(i=1, p-2, m=m^2-2); !m

s=1/3; forprime(p=3, default(realprecision)*log(10)\log(2), if(isM(p), s+=1./(2^p-1))); v=contfrac(s); vector(#v-2, i, v[i+1]) \\ Charles R Greathouse IV, Mar 22 2012

CROSSREFS

Cf. A000668, A173898, A209600.

Sequence in context: A022177 A015133 A040202 * A040201 A179948 A160495

Adjacent sequences:  A209598 A209599 A209600 * A209602 A209603 A209604

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane, Mar 10 2012

STATUS

approved

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Last modified June 27 16:27 EDT 2022. Contains 354896 sequences. (Running on oeis4.)