cp's OEIS Frontend

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.

%I A281408 #11 Jan 22 2017 15:22:29
%S A281408 1,2,3,5,8,13,21,4,9,17,26,43,69,112,181,23,20,63,83,10,33,53,86,11,
%T A281408 15,37,7,6,19,25,44,94,50,22,14,36,64,28,12,16,40,24,88,32,56,120,176,
%U A281408 296,30,38,68,106,174,34,35,103,138,241,379,46,57,149,92,333
%N 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.
%H A281408 Rémy Sigrist, <a href="/A281408/b281408.txt">Table of n, a(n) for n = 1..10000</a>
%H A281408 Rémy Sigrist, <a href="/A281408/a281408.gp.txt">PARI program for A281408</a>
%e A281408 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:
%e A281408    n  a(n)    Indexes
%e A281408   --  ----    -------
%e A281408    1     1    1, 2
%e A281408    2     2    1, 2
%e A281408    3     3    1, 2
%e A281408    4     5    1, 2
%e A281408    5     8    1, 2
%e A281408    6    13    3
%e A281408    7    21    2
%e A281408    8     4    1
%e A281408    9     9    1, 2
%e A281408   10    17    1, 2
%e A281408   11    26    1, 2
%e A281408   12    43    1, 2
%e A281408   13    69    1, 2
%e A281408   14   112    3
%e A281408   15   181    2
%e A281408   16    23    2
%e A281408   17    20    1, 2
%e A281408   18    63    3
%e A281408   19    83    2
%e A281408   20    10    1
%e A281408   21    33    1, 2
%e A281408   22    53    3
%e A281408   23    86    3
%e A281408   24    11    1
%e A281408   25    15    1
%Y A281408 Cf. A278962, A281409.
%K A281408 nonn
%O A281408 1,2
%A A281408 _Rémy Sigrist_, Jan 21 2017