login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A247860 Decimal expansion of the value of the continued fraction [0; 2, 5, 17, 37, 101, 197, ...], generated with primes of the form n^2 + 1. 2
4, 5, 5, 0, 2, 5, 6, 9, 9, 8, 0, 1, 9, 9, 4, 6, 8, 7, 1, 8, 0, 2, 0, 2, 1, 0, 2, 6, 3, 8, 0, 8, 4, 2, 1, 8, 9, 8, 1, 3, 7, 6, 8, 7, 9, 4, 7, 6, 3, 5, 0, 6, 6, 1, 9, 7, 1, 4, 2, 4, 6, 4, 2, 7, 6, 2, 5, 0, 5, 6, 7, 0, 6, 6, 5, 5, 8, 1, 8, 7, 3, 7, 5, 6, 6, 2, 3, 9, 2, 4, 4, 9, 5, 9, 7, 6, 0, 8, 6, 8, 7, 5, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..102.

Marek Wolf, Continued fractions constructed from prime numbers, arxiv.org/abs/1003.4015, p. 11.

EXAMPLE

1/(2 + 1/(5 + 1/(17 + 1/(37 + 1/(101 + 1/(197 + 1/(257 + 1/(401 + ...))))))))

0.45502569980199468718020210263808421898137687947635...

MATHEMATICA

pp = Select[Range[100]^2 + 1, PrimeQ]; RealDigits[FromContinuedFraction[Join[{0}, pp]], 10, 103] // First

CROSSREFS

Cf. A002496, A199401, A247858.

Sequence in context: A279270 A075464 A247858 * A196756 A103561 A309949

Adjacent sequences:  A247857 A247858 A247859 * A247861 A247862 A247863

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Sep 25 2014

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 17 14:47 EDT 2019. Contains 328114 sequences. (Running on oeis4.)