A336716 Lexicographically earliest sequence of distinct positive integers such that the sum of the last two digits of the sequence starts the new term.

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, 14, 53, 82, 102, 22, 42, 60, 61, 73, 103, 33, 62, 83, 110, 15, 63, 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

Offset: 1

Author

Eric Angelini and Jean-Marc Falcoz, Aug 01 2020

Keywords

• base
• nonn

Comments

No term ending with two or more zeros is part of the sequence as the next term would start with zero.

Examples

			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.
		

Links

• Jean-Marc Falcoz, Table of n, a(n) for n = 1..10002

Crossrefs

Cf. A209685.