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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A244110 Continued fraction expansion of the prime zeta function at 5. 0
 0, 27, 1, 30, 2, 1, 5, 1, 3, 2, 2, 7, 1, 2, 12, 1, 1, 23, 1, 3, 1, 6, 1, 3, 16, 1, 1, 1, 4, 3, 3, 5, 1, 2, 1, 1, 7, 5, 1, 3, 1, 1, 1, 28, 14, 3, 3, 1, 6, 18, 11, 7, 1, 29, 1, 1, 2, 10, 1, 6, 1, 1, 8, 2, 303, 3, 1, 2, 1, 61, 1, 11, 1, 10, 10, 1, 1, 2, 1, 1, 45, 19, 1, 1, 1, 6, 1, 1, 2, 4, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Continued fraction of Sum_{n>=1} 1/prime(n)^5 = 0.0357550174839242571328... LINKS Eric Weisstein's World of Mathematics, Prime Zeta Function Wikipedia, Prime Zeta Function EXAMPLE 1/2^5 + 1/3^5 + 1/5^5 +1/7^5 + 1/11^5 + 1/13^5 +... = 1/(27 + 1/(1 + 1/(30 + 1/(2 + 1/(1 + 1/(5 + 1/(1 + 1/(3 + 1/...)))))))). MATHEMATICA ContinuedFraction[PrimeZetaP[5], 90] CROSSREFS Cf. A013681, A085965. Sequence in context: A040753 A040754 A059952 * A338659 A040755 A261197 Adjacent sequences:  A244107 A244108 A244109 * A244111 A244112 A244113 KEYWORD nonn,cofr AUTHOR Ilya Gutkovskiy, Dec 16 2015 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.

Last modified June 15 08:52 EDT 2021. Contains 345048 sequences. (Running on oeis4.)