cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A084255 Decimal expansion of continued fraction 1/(2+1/(3+1/(5+1/(7+1/(11+...))))).

This page as a plain text file.
%I A084255 #22 Apr 03 2023 10:36:10
%S A084255 4,3,2,3,3,2,0,8,7,1,8,5,9,0,2,8,6,8,9,0,9,2,5,3,7,9,3,2,4,1,9,9,9,9,
%T A084255 6,3,7,0,5,1,1,0,8,9,6,8,7,7,6,5,1,3,1,0,3,2,8,1,5,2,0,6,7,1,5,8,5,5,
%U A084255 3,9,0,5,1,1,5,2,9,5,8,8,6,6,4,2,4,7,7,3,0,2,3,4,6,7,5,3,0,7,3,1,2,9
%N A084255 Decimal expansion of continued fraction 1/(2+1/(3+1/(5+1/(7+1/(11+...))))).
%C A084255 Decimal expansion of the constant whose continued fraction form is the sequence of all the prime numbers.
%H A084255 Michael Hartley, <a href="https://t5k.org/curios/page.php?number_id=2750">0.4323320871859028689..</a>, Prime Curios!
%H A084255 G. L. Honaker, Jr., <a href="https://t5k.org/curios/page.php?number_id=2750">Prime Curios! 0.4323320871859028689...</a>
%H A084255 Marek Wolf, <a href="http://arxiv.org/abs/1003.4015">Continued fractions constructed from prime numbers</a>, arxiv:1003.4015 [math.NT], 2010.
%F A084255 1/A064442. - _Franklin T. Adams-Watters_, Jul 31 2009
%e A084255 0.4323320871859028689...
%t A084255 RealDigits[1/FromContinuedFraction@ Prime@ Range@ 34, 10, 111] (* or *)
%t A084255 RealDigits[ Fold[1/(#1 + #2) &, 1, Reverse@ Prime@ Range@35], 10, 111] (* _Robert G. Wilson v_, Dec 26 2016 *)
%Y A084255 Cf. A000040, A084256, A084257, A152062
%K A084255 nonn,cons
%O A084255 0,1
%A A084255 _Frank Ellermann_, May 23 2003