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.
%I A191815 #9 Sep 26 2013 06:13:17 %S A191815 1,9,5,9,4,0,5,1,1,6,0,2,0,7,9,9,2,8,0,4,4,1,7,5,9,7,7,8,4,1,2,6,3,8, %T A191815 6,9,6,6,8,1,9,1,5,4,4,0,4,8,9,9,4,6,8,9,7,3,7,2,6,9,9,0,9,4,1,5,9,2, %U A191815 6,9,7,6,6,0,2,1 %N A191815 Decimal expansion of the number 1+2/(1+3/(1+5/(1+7/(1+11/(...))))), where the numerators are the primes. %C A191815 Inspired by A191504 = 1/(1+1/A191815). %C A191815 Successive applications of x -> 1+1/x (resp. x -> 1/(1+x)) yield a sequence converging to the Golden ratio (sqrt(5)+1)/2 (resp. (sqrt(5)-1)/2), A001622. %e A191815 1.959405116020799280441759778412638696681915440489946897372699094159269766... %o A191815 (PARI) default(realprecision,80); s=sqrt(p=1e6); while( p=precprime(p-1), s=p/(1+s)); return(1+s) %Y A191815 Cf. A191816 for the continued fraction. %K A191815 nonn,cons %O A191815 1,2 %A A191815 _M. F. Hasler_, Jun 17 2011