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A301743
Lexicographically first sequence with no duplicate term whose digits' concatenation is the same as the digits' concatenation of all sums of adjacent terms lined up one by one.
3
1, 109, 878, 8, 6, 14, 20, 3, 4, 2, 37, 63, 9, 100, 7, 210, 910, 72, 17, 11, 209, 82, 89, 28, 220, 29, 117, 111, 724, 824, 91, 46, 22, 88, 35, 15, 48, 915, 13, 76, 81, 10, 12, 350, 639, 6392, 889, 157, 912, 23, 62, 98, 970, 31, 728, 110, 4610, 69, 93, 5, 85, 160, 106, 8100, 175, 983, 84, 720, 467, 916, 298, 90, 24
OFFSET
1,2
COMMENTS
This sequence is conjectured to be a permutation of A000027 (the positive numbers).
LINKS
EXAMPLE
1 + 109 = 110
109 + 878 = 987
878 + 8 = 886
8 + 6 = 14
6 + 14 = 20
14 + 20 = 34
20 + 3 = 23
3 + 4 = 7 etc.
We see that both the first and the last column present the same digit succession:
1, 1, 0, 9, 8, 7, 8, 8, 6, 1, 4, 2, 0, 3, ...
CROSSREFS
Cf. A301807 for the same idea, but with absolute differences between pairs of adjacent terms.
Sequence in context: A103734 A232039 A387800 * A178263 A061699 A359144
KEYWORD
base,nonn
AUTHOR
STATUS
approved