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 A082355 #9 Mar 31 2012 13:21:09 %S A082355 0,1,2,3,4,5,8,6,7,9,10,13,11,12,19,20,21,14,15,22,18,16,17,23,24,27, %T A082355 25,26,33,34,35,28,29,36,32,30,31,51,52,55,53,54,56,57,58,37,38,59,41, %U A082355 39,40,60,61,64,47,48,62,49,42,43,63,50,46,44,45,65,66,69,67,68 %N A082355 Permutation of natural numbers induced by Catalan Automorphism *A082355 acting on the parenthesizations encoded by A014486/A063171. %C A082355 This bijection maps between the "standard" ordering of binary trees as encoded by A014486 and "variant B quaternary encoding" as explained in the sequence A085184. %H A082355 A. Karttunen, <a href="http://oeis.org/wiki/Catalan_Automorphisms">Catalan Automorphisms</a> %H A082355 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %o A082355 (Scheme function implementing this automorphism on list-structures/S-expressions:) %o A082355 (define (*A082355! s) (cond ((pair? s) (*A082355! (car s)) (*A082355! (cdr s)) (*A082351! s))) s) %Y A082355 Inverse of A082356. a(n) = A082357(A057163(n)). a(n) = A082363(A082853(n))+A082852(n). Cf. also A082351-A082352, A082357-A082358. %Y A082355 Differs from A057118 first time at n=42: a(42)=56, while A057118(42)=58. %K A082355 nonn %O A082355 0,3 %A A082355 _Antti Karttunen_, Apr 17 2003