%I #8 Apr 04 2015 21:46:57
%S 1,3,5,4,23,2,6,10,17,8,19,30,34,15,12,13,14,11,16,9,18,7,20,29,35,46,
%T 79,21,43,38,26,55,70,51,74,47,78,22,42,39,25,24,40,41,84,37,27,54,71,
%U 50,75,69,56,44,81,63,62,59,66,103,113,31,33,48,77,67,58
%N Lexicographically earliest sequence: a(n)+a(n+1) is alternatively square and cube, a(1)=1.
%C Sequence is infinite, and almost certainly is rearrangement of natural numbers.
%C Corresponding squares and cubes in A182046.
%H Zak Seidov, <a href="/A182045/b182045.txt">Table of n, a(n) for n = 1..10000</a>
%e 1+3 = 2^2, 3+5 =2^3, 5+4 = 3^2, 4+23 = 5^2, etc.
%K nonn
%O 1,2
%A _Zak Seidov_, Apr 08 2012