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 A227370 #14 Jul 26 2013 11:26:14 %S A227370 0,1,2,4,3,6,5,8,7,9,10,11,12,13,14,16,15,18,17,20,19,22,21,24,23,25, %T A227370 26,27,28,29,30,31,32,33,34,36,35,38,37,40,39,42,41,44,43,46,45,48,47, %U A227370 49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,63,66,65,68,67 %N A227370 Permutation which maps between A227368 and A227369. %C A227370 Conjecture 1: This is an involution (self-inverse permutation) of nonnegative integers. (Which would imply that both formulas given in A227368 and A227369 involving A227370 are valid). %C A227370 Conjecture 2: (which would automatically imply the conjecture 1): the only transpositions (used to compose the permutation) are of adjacent terms 2k-1 and 2k, where A061887 gives the values of k. This is true at least for the first 35 transpositions (up to k=60). %C A227370 See the example section of A227368 to get a grasp of the problem. %H A227370 Antti Karttunen, <a href="/A227370/b227370.txt">Table of n, a(n) for n = 0..132</a> %H A227370 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a> %F A227370 a(n) = A227183(A227369(n)). %o A227370 (Scheme) (define (A227370 n) (A227183 (A227369 n))) %Y A227370 Cf. A227368, A227369, A061887. %K A227370 nonn %O A227370 0,3 %A A227370 _Antti Karttunen_, Jul 08 2013