A281408 Lexicographically first sequence of distinct terms with the property that each triple of consecutive terms contains a term that divides the difference of the other two terms.

1, 2, 3, 5, 8, 13, 21, 4, 9, 17, 26, 43, 69, 112, 181, 23, 20, 63, 83, 10, 33, 53, 86, 11, 15, 37, 7, 6, 19, 25, 44, 94, 50, 22, 14, 36, 64, 28, 12, 16, 40, 24, 88, 32, 56, 120, 176, 296, 30, 38, 68, 106, 174, 34, 35, 103, 138, 241, 379, 46, 57, 149, 92, 333

Offset

1,2

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A281408

Example

The first terms, alongside the indexes of the terms that divides the difference of the other two terms within the n-th triple of consecutive terms, are:
   n  a(n)    Indexes
  --  ----    -------
   1     1    1, 2
   2     2    1, 2
   3     3    1, 2
   4     5    1, 2
   5     8    1, 2
   6    13    3
   7    21    2
   8     4    1
   9     9    1, 2
  10    17    1, 2
  11    26    1, 2
  12    43    1, 2
  13    69    1, 2
  14   112    3
  15   181    2
  16    23    2
  17    20    1, 2
  18    63    3
  19    83    2
  20    10    1
  21    33    1, 2
  22    53    3
  23    86    3
  24    11    1
  25    15    1

Crossrefs

Cf. A278962, A281409.

Sequence in context: A273715 A093093 A345095 * A359128 A327451 A137290

Adjacent sequences: A281405 A281406 A281407 * A281409 A281410 A281411

Keyword

nonn

Author

Rémy Sigrist, Jan 21 2017

Status

approved