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