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 A085174 #8 Oct 15 2015 10:55:24 %S A085174 0,1,3,2,8,6,7,5,4,22,19,21,15,14,18,16,20,13,11,17,12,10,9,64,60,63, %T A085174 52,51,59,56,62,41,39,58,40,38,37,50,47,49,43,42,55,53,61,36,33,54,35, %U A085174 29,28,46,44,57,32,30,48,34,27,25,45,31,26,24,23,196,191,195,178,177 %N A085174 Permutation of natural numbers induced by the Catalan bijection gma085174 acting on symbolless S-expressions encoded by A014486/A063171. %C A085174 This Catalan bijection rotates by "half step" the interpretations (pp)-(rr) of Stanley, using the "rising slope" mapping illustrated in A085161. %H A085174 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (With the complete Scheme source) %H A085174 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %Y A085174 Inverse: A085173. a(n) = A085161(A085173(A085161(n))) = A085169(A057502(A085170(n))) = A074684(A057502(A074683(n))). Occurs in A073200. Cf. also A085160 (whole step rotate), A086428. %Y A085174 Number of cycles: A002995. Number of fixed points: A019590. Max. cycle size: A057543. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right). %K A085174 nonn %O A085174 0,3 %A A085174 _Antti Karttunen_, Jun 23 2003