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 A085160 #9 Oct 15 2015 10:55:24 %S A085160 0,1,2,3,4,7,5,6,8,9,17,10,16,18,11,20,12,14,21,13,15,19,22,23,45,24, %T A085160 44,46,25,48,26,42,49,27,43,47,50,28,54,29,53,55,30,57,31,37,58,32,38, %U A085160 56,59,33,61,34,39,62,35,40,51,63,36,41,52,60,64,65,129,66,128,130 %N A085160 Permutation of natural numbers induced by the Catalan bijection gma085160 acting on symbolless S-expressions encoded by A014486/A063171. %C A085160 This Catalan bijection rotates the interpretations (pp)-(rr) of Stanley, using the "rising slope" mapping illustrated in A085161. %H A085160 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (With the complete Scheme source) %H A085160 R. P. Stanley, <a href="http://www-math.mit.edu/~rstan/ec/catalan.pdf">Exercises on Catalan and Related Numbers</a> (including 66 combinatorial interpretations) %H A085160 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %Y A085160 Inverse: A085159. a(n) = A085161(A085159(A085161(n))) = A085169(A082316(A085170(n))) = A074684(A082316(A074683(n))) = A085174(A085174(n)). Occurs in A073200. Cf. also A085165-A085168, A086430. %Y A085160 Number of cycles: A054357. Number of fixed points: A046698. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right). %K A085160 nonn %O A085160 0,3 %A A085160 _Antti Karttunen_, Jun 23 2003