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.
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
Examples
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, ...
Links
- Lars Blomberg, Table of n, a(n) for n = 1..10000
Crossrefs
Cf. A301807 for the same idea, but with absolute differences between pairs of adjacent terms.
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