A345964 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.

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

Offset

1,1

Comments

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)].

Links

Table of n, a(n) for n=1..68.

Crossrefs

Cf. A345881.

Sequence in context: A378837 A271569 A239138 * A298425 A001633 A171120

Adjacent sequences: A345961 A345962 A345963 * A345965 A345966 A345967

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Jun 30 2021

Status

approved