A247856 Decimal expansion of the value of the continued fraction [0; 3, 5, 5, 7, 11, 13, 17, 19, ...] generated by twin primes.

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

Offset

0,1

Links

Table of n, a(n) for n=0..100.

Eric Weisstein's MathWorld, Twin Primes

Marek Wolf, Continued fractions constructed from prime numbers, arxiv.org/abs/1003.4015, p. 6.

Example

0.313233080986945912630786486472172800439251174505225397...

Mathematica

twinPrimes = Select[{#, #+2}& /@ Prime[Range[100]], PrimeQ[Last[#]]&] // Flatten; u2 = FromContinuedFraction[Join[{0}, twinPrimes]]; RealDigits[u2, 10, 101] // First

Crossrefs

Cf. A077800, A108170, A127552.

Sequence in context: A123508 A117621 A178055 * A059660 A194003 A339365

Adjacent sequences: A247853 A247854 A247855 * A247857 A247858 A247859

Keyword

nonn,cons

Author

Jean-François Alcover, Sep 25 2014

Status

approved