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

1,2

Comments

This sequence is conjectured to be a permutation of A000027 (the positive numbers).

Links

Lars Blomberg, Table of n, a(n) for n = 1..10000

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: A142366 A103734 A232039 * A178263 A061699 A359144

Adjacent sequences: A301740 A301741 A301742 * A301744 A301745 A301746

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Mar 26 2018

Status

approved