The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #6 Jun 30 2021 16:07:53
%S 2,3,4,5,6,7,8,9,100,1,15,160,20,210,25,260,30,310,35,360,40,410,44,
%T 50,43,55,102,65,60,62,616,306,68,690,73,740,77,80,810,76,87,88,91,
%U 920,96,970,110,1030,111,511,120,122,131,2123,128,1291,320,138,1390,145,1460,151,520,162,171,6163,168,1691
%N At digit-position a(n) in the sequence starts the sum a(n) + 1. This is the lexicographically earliest sequence of distinct positive terms with this property. See the Comments section for more explanations.
%C A "digit-position" (DP in short) is the rank of a digit in the succession of the digits of the sequence. At DP#1 we find the digit "2" here. At DP#9 we find "1" (the 1 of 100), etc.
%C A term > 9 uses more than one digit when 1 is added to it (9 + 1 = 10 uses two digits for instance; 99 + 1 = 100 uses three digits, etc.) The convention here says that the sum a(n) + 1 is visible in the sequence at DP#a(n). This means that the said sum will use sometimes contiguous digits that belong to an existing term [example: a(11) = 15 and 15 + 1 (= 16) is visible in a(12) = 160 at DP#15 and DP#16], or will use successive digits belonging to two (or more) contiguous terms [example: a(23) = 44 and 44 + 1 (= 45) is visible in (44, 50) at DP#44 and DP#45 (we don't take into account commas and spaces, only digits)].
%Y Cf. A345881.
%K base,nonn
%O 1,1
%A _Eric Angelini_ and _Carole Dubois_, Jun 30 2021