%I #15 Jan 25 2021 02:32:11

%S 1,109,2,7,3,24,4,28,5,39,6,22,8,45,9,87,10,12,11,73,13,46,14,8696,15,

%T 106,16,157,17,117,18,43,19,29,20,49,21,40,23,487,25,36,26,35,27,30,

%U 31,140,32,139,33,51,34,285,37,2883,38,454,41,99,42,192,44,828,47,489,48,215,50,477,52,251,53,1087,54,267

%N Add the two terms of the first pair of integers to produce b(1); add the two terms of the second pair of integers to produce b(2); add the two terms of the third pair of integers to produce b(3), etc. This sequence and the b(n) sequence share the same succession of digits.

%C This is the lexicographically earliest sequence of distinct integers > 0 with this property. The sequence is conjectured to be a permutation of the integers > 0.

%H Carole Dubois, <a href="/A340348/b340348.txt">Table of n, a(n) for n = 1..10000</a>

%e 1 + 109 = 110

%e 2 + 7 = 9

%e 3 + 24 = 27

%e 4 + 28 = 32

%e 5 + 39 = 44

%e 6 + 22 = 28

%e 8 + 45 = 53; etc.

%e The 3rd column and the starting sequence share the same succession of digits.

%Y Cf. A302656.

%K nonn,look,base

%O 1,2

%A _Eric Angelini_ and _Carole Dubois_, Jan 05 2021