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%I #15 Aug 16 2020 12:56:44
%S 1,2,3,5,8,13,4,7,11,20,21,30,31,40,41,50,51,6,70,71,80,81,9,10,12,32,
%T 52,72,90,91,101,14,53,82,102,22,42,60,61,73,103,33,62,83,110,15,63,
%U 92,111,23,54,93,120,24,64,104,43,74,112,34,75,121,35,84,122,44,85,130,36,94,131,45,95,140,46,105,55,106
%N Lexicographically earliest sequence of distinct positive integers such that the sum of the last two digits of the sequence starts the new term.
%C No term ending with two or more zeros is part of the sequence as the next term would start with zero.
%H Jean-Marc Falcoz, <a href="/A336716/b336716.txt">Table of n, a(n) for n = 1..10002</a>
%e 5 + 8 = 13; now the last two digits of the sequence are 1 and 3; their sum is 4; the last two digits of the sequence are now 3 and 4; their sum is 7; the last two digits are now 4 and 7 with sum 11; those two digits sum up to 2 but as 2 is already in the sequence we extend it with 20 as 20 is the smallest integer starting with the sum 2 that is not yet in the sequence.
%Y Cf. A209685.
%K base,nonn
%O 1,2
%A _Eric Angelini_ and _Jean-Marc Falcoz_, Aug 01 2020
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