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A209601
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Continued fraction expansion of the sum of the reciprocals of the Mersenne primes (A000668).
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3
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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
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OFFSET
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1,3
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LINKS
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MATHEMATICA
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ContinuedFraction[Total[1/(2^MersennePrimeExponent[Range[30]]-1)], 80] (* Harvey P. Dale, Aug 09 2021 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,cofr
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AUTHOR
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STATUS
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approved
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