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A336716 revision #8

A336716
Lexicographically earliest sequence of distinct positive terms such that the sum of the last two digits starts the next term.
1
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, 52, 72, 90, 91, 101, 102, 22, 42, 60, 61, 73, 103, 43, 74, 110, 104, 44, 82, 105, 53, 83, 111, 23, 54, 92, 112, 33, 62, 84, 120, 24, 63, 93, 121, 34, 75, 122, 45, 94, 130, 35, 85, 131, 46, 106, 64, 107
OFFSET
1,2
COMMENTS
No term ending with two or more zeros is part of the sequence as the next term would start with zero.
EXAMPLE
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.
CROSSREFS
Cf. A209685.
Sequence in context: A254056 A238948 * A345097 A050416 A079345 A106005
KEYWORD
base,nonn
AUTHOR
Eric Angelini, Aug 01 2020
STATUS
editing