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

1,2

Comments

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

Links

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

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: A078414 A254056 A238948 * A345097 A050416 A079345

Adjacent sequences: A336713 A336714 A336715 * A336717 A336718 A336719

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Aug 01 2020

Status

approved