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%I #18 Apr 05 2018 21:21:47
%S 1,109,878,8,6,14,20,3,4,2,37,63,9,100,7,210,910,72,17,11,209,82,89,
%T 28,220,29,117,111,724,824,91,46,22,88,35,15,48,915,13,76,81,10,12,
%U 350,639,6392,889,157,912,23,62,98,970,31,728,110,4610,69,93,5,85,160,106,8100,175,983,84,720,467,916,298,90,24
%N Lexicographically first sequence with no duplicate term whose digits' concatenation is the same as the digits' concatenation of all sums of adjacent terms lined up one by one.
%C This sequence is conjectured to be a permutation of A000027 (the positive numbers).
%H Lars Blomberg, <a href="/A301743/b301743.txt">Table of n, a(n) for n = 1..10000</a>
%e 1 + 109 = 110
%e 109 + 878 = 987
%e 878 + 8 = 886
%e 8 + 6 = 14
%e 6 + 14 = 20
%e 14 + 20 = 34
%e 20 + 3 = 23
%e 3 + 4 = 7 etc.
%e We see that both the first and the last column present the same digit succession:
%e 1, 1, 0, 9, 8, 7, 8, 8, 6, 1, 4, 2, 0, 3, ...
%Y Cf. A301807 for the same idea, but with absolute differences between pairs of adjacent terms.
%K base,nonn
%O 1,2
%A _Eric Angelini_ and _Jean-Marc Falcoz_, Mar 26 2018
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