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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 21 06:36 EDT 2022. Contains 353889 sequences. (Running on oeis4.)