cp's OEIS Frontend

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.

A086430 Permutation of natural numbers induced by the Catalan bijection gma086430 acting on symbolless S-expressions encoded by A014486/A063171.

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%I A086430 #9 Oct 15 2015 10:55:24
%S A086430 0,1,2,3,4,6,7,5,8,9,11,14,16,19,17,18,12,10,15,20,21,13,22,23,25,28,
%T A086430 30,33,37,39,42,44,47,51,53,56,60,45,46,48,49,50,31,32,26,24,29,40,38,
%U A086430 43,52,54,55,57,58,59,34,35,27,41,61,62,63,36,64,65,67,70,72,75
%N A086430 Permutation of natural numbers induced by the Catalan bijection gma086430 acting on symbolless S-expressions encoded by A014486/A063171.
%C A086430 This Catalan bijection rotates the interpretations (pp)-(rr) of Stanley, using the "descending slope" mapping illustrated in A086431.
%H A086430 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (With the complete Scheme source)
%H A086430 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 A086430 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a>
%Y A086430 Inverse: A086429. a(n) = A086428(A086428(n)) = A086431(A086429(A086431(n))) = A057164(A085160(A057164(n))) = A086425(A082316(A086426(n))). Occurs in A073200.
%Y A086430 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 A086430 nonn
%O A086430 0,3
%A A086430 _Antti Karttunen_, Jun 23 2003