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 A082543 #6 Mar 31 2012 20:01:59 %S A082543 0,0,1,1,2,2,3,4,5,7 %N A082543 Take a string of n x's and insert n-1 ^'s and n-1 pairs of parentheses in all possible ways. Sequence gives number of distinct integer values when x=sqrt(2). %C A082543 It appears that the integer values obtained are always of form 2^(2^k). %Y A082543 Cf. A003019, A082499. %K A082543 nonn,more %O A082543 1,5 %A A082543 _Benoit Cloitre_, May 02 2003 %E A082543 More terms and comments from _W. Edwin Clark_, May 02 2003