cp's OEIS Frontend

A293666 Lexicographically earliest sequence of distinct positive integers such that the absolute value of the first difference contains only distinct prime numbers.

%I A293666 #6 Oct 14 2017 10:46:34
%S A293666 1,3,6,11,4,15,2,19,38,7,30,59,12,49,8,51,104,21,80,9,70,137,10,83,
%T A293666 162,5,94,191,18,119,16,123,14,127,258,17,154,293,22,171,20,183,350,
%U A293666 13,192,373,24,215,408,25,222,23,234,457,26,253,482,33,266,27,278
%N A293666 Lexicographically earliest sequence of distinct positive integers such that the absolute value of the first difference contains only distinct prime numbers.
%C A293666 This sequence is a variant of A081145 and of A230455.
%C A293666 See A293667 for the first difference of this sequence.
%C A293666 For n > 1, n is even iff a(n) is odd.
%H A293666 Rémy Sigrist, <a href="/A293666/a293666.gp.txt">PARI program for A293666</a>
%e A293666 The following table shows the first terms, alongside the first terms of the first difference:
%e A293666 n       a(n)    a(n+1)-a(n)
%e A293666 --      ----    -----------
%e A293666 1       1       2
%e A293666 2       3       3
%e A293666 3       6       5
%e A293666 4       11      -7
%e A293666 5       4       11
%e A293666 6       15      -13
%e A293666 7       2       17
%e A293666 8       19      19
%e A293666 9       38      -31
%e A293666 10      7       23
%e A293666 11      30      29
%e A293666 12      59      -47
%e A293666 13      12      37
%e A293666 14      49      -41
%e A293666 15      8       43
%e A293666 16      51      53
%e A293666 17      104     -83
%e A293666 18      21      59
%e A293666 19      80      -71
%e A293666 20      9       61
%o A293666 (PARI) See Links section.
%Y A293666 Cf. A081145, A230455, A293667.
%K A293666 nonn
%O A293666 1,2
%A A293666 _Rémy Sigrist_, Oct 14 2017