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 A085167 #11 May 18 2024 15:05:39 %S A085167 0,1,3,2,5,8,7,4,6,10,13,15,18,22,12,21,17,9,11,20,14,16,19,24,27,29, %T A085167 32,36,38,41,43,46,50,52,55,59,64,26,35,40,49,63,31,58,45,23,25,48,28, %U A085167 30,33,34,62,54,37,39,57,42,44,47,61,51,53,56,60,66,69,71,74,78 %N A085167 Permutation of natural numbers induced by the Catalan bijection gma085167 acting on symbolless S-expressions encoded by A014486/A063171. %H A085167 Antti Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (With the complete Scheme source) %H A085167 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %o A085167 (Scheme function implementing this automorphism on list-structures:) %o A085167 (define (gma085167! s) (cond ((null? s) s) (else (app-to-xrt! (cdr s) (append! (car s) (list (list))))))) %Y A085167 Inverse: A085168. a(n) = A085159(A069770(n)). Occurs in A073200. Cf. also A074679, A074680, A085203. %Y A085167 Number of cycles in range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right: A001683. [To be checked.]. %K A085167 nonn %O A085167 0,3 %A A085167 _Antti Karttunen_, Jun 23 2003