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 A085173 #8 Oct 15 2015 10:55:24 %S A085173 0,1,3,2,8,7,5,6,4,22,21,18,20,17,13,12,15,19,14,10,16,11,9,64,63,59, %T A085173 62,58,50,49,55,61,54,46,57,48,45,36,35,32,34,31,41,40,52,60,51,38,56, %U A085173 39,37,27,26,43,47,42,29,53,33,28,24,44,30,25,23,196,195,190,194,189 %N A085173 Permutation of natural numbers induced by the Catalan bijection gma085173 acting on symbolless S-expressions encoded by A014486/A063171. %C A085173 This Catalan bijection rotates by "half step" the interpretations (pp)-(rr) of Stanley, using the "rising slope" mapping illustrated in A085161. %H A085173 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (With the complete Scheme source) %H A085173 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %Y A085173 Inverse: A085174. a(n) = A085161(A085174(A085161(n))) = A085169(A057501(A085170(n))) = A074684(A057501(A074683(n))). Occurs in A073200. Cf. also A085159 (whole step rotate), A086427. %Y A085173 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 A085173 nonn %O A085173 0,3 %A A085173 _Antti Karttunen_, Jun 23 2003