%I
%S 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 26,27,28,29,30,31,32,33,34,36,35,38,37,40,39,42,41,44,43,46,45,48,47,
%U 49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,63,66,65,68,67
%N Permutation which maps between A227368 and A227369.
%C Conjecture 1: This is an involution (selfinverse permutation) of nonnegative integers. (Which would imply that both formulas given in A227368 and A227369 involving A227370 are valid).
%C Conjecture 2: (which would automatically imply the conjecture 1): the only transpositions (used to compose the permutation) are of adjacent terms 2k1 and 2k, where A061887 gives the values of k. This is true at least for the first 35 transpositions (up to k=60).
%C See the example section of A227368 to get a grasp of the problem.
%H Antti Karttunen, <a href="/A227370/b227370.txt">Table of n, a(n) for n = 0..132</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(n) = A227183(A227369(n)).
%o (Scheme) (define (A227370 n) (A227183 (A227369 n)))
%Y Cf. A227368, A227369, A061887.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jul 08 2013
