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 A082341 #8 Oct 15 2015 10:55:24 %S A082341 0,1,2,3,4,5,7,6,8,9,10,12,11,13,17,18,16,14,15,20,21,19,22,23,24,26, %T A082341 25,27,31,32,30,28,29,34,35,33,36,45,46,48,49,50,44,47,42,37,38,43,39, %U A082341 40,41,54,55,57,58,59,53,56,51,52,61,62,63,60,64,65,66,68,67,69 %N A082341 Permutation of natural numbers induced by the Catalan bijection gma082341 acting on the parenthesizations encoded by A014486/A063171. %C A082341 This is A057163-conjugate of A073285. %H A082341 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (with the complete Scheme source) %H A082341 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %o A082341 (Scheme functions implementing this automorphism on list-structures:) %o A082341 (define (gma082341! s) (cond ((pair? s) (gma082341! (car s)) (gma072797! s) (gma082341! (cdr s)))) s) %Y A082341 Inverse of A082342. a(n) = A057163(A073285(A057163(n))). Occurs in A073200 as row 1800. Cf. also A072797, A082337-A082339. %Y A082341 Differs from A082326 first time at n=39: a(39)=48, while A082326(39)=49. %Y A082341 Number of cycles: A057513. Number of fixed-points: A057546. Max. cycle size: A000793. LCM of cycle sizes: A003418. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right). %K A082341 nonn %O A082341 0,3 %A A082341 _Antti Karttunen_, Apr 17 2003