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A345964
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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.
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0
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2, 3, 4, 5, 6, 7, 8, 9, 100, 1, 15, 160, 20, 210, 25, 260, 30, 310, 35, 360, 40, 410, 44, 50, 43, 55, 102, 65, 60, 62, 616, 306, 68, 690, 73, 740, 77, 80, 810, 76, 87, 88, 91, 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
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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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.
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)].
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LINKS
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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