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 A086429 #9 Oct 15 2015 10:55:24 %S A086429 0,1,2,3,4,7,5,6,8,9,17,10,16,21,11,18,12,14,15,13,19,20,22,23,45,24, %T A086429 44,58,25,46,26,42,43,27,56,57,63,28,48,29,47,59,30,49,31,37,38,32,39, %U A086429 40,41,33,50,34,51,52,35,53,54,55,36,60,61,62,64,65,129,66,128,170 %N A086429 Permutation of natural numbers induced by the Catalan bijection gma086429 acting on symbolless S-expressions encoded by A014486/A063171. %C A086429 This Catalan bijection rotates the interpretations (pp)-(rr) of Stanley, using the "descending slope" mapping illustrated in A086431. %H A086429 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (With the complete Scheme source) %H A086429 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 A086429 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %Y A086429 Inverse: A086430. a(n) = A086427(A086427(n)) = A086431(A086430(A086431(n))) = A057164(A085159(A057164(n))) = A086425(A082315(A086426(n))). Occurs in A073200. %Y A086429 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 A086429 nonn %O A086429 0,3 %A A086429 _Antti Karttunen_, Jun 23 2003