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A336478 Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms has distinct digits in primorial base.

%I A336478 #11 Jul 25 2020 12:02:04
%S A336478 1,3,2,8,5,9,4,6,7,12,10,13,15,11,14,38,20,32,26,53,27,25,33,19,39,40,
%T A336478 18,34,24,28,30,22,36,16,42,37,21,31,48,47,56,23,29,50,35,17,41,44,51,
%U A336478 49,46,54,61,43,52,63,55,45,58,57,59,60,65,68,62,71,69
%N A336478 Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms has distinct digits in primorial base.
%C A336478 In other words, for any n > 0, a(n) + a(n+1) belongs to A321683.
%H A336478 Rémy Sigrist, <a href="/A336478/b336478.txt">Table of n, a(n) for n = 1..10000</a>
%H A336478 Rémy Sigrist, <a href="/A336478/a336478.png">Scatterplot of the first 1000000 terms</a>
%H A336478 Rémy Sigrist, <a href="/A336478/a336478.gp.txt">PARI program for A336478</a>
%H A336478 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%e A336478 The first terms, alongside the primorial representation of a(n)+a(n+1), are:
%e A336478   n   a(n)  prim(a(n)+a(n+1))
%e A336478   --  ----  -----------------
%e A336478    1     1    (2,0)
%e A336478    2     3    (2,1)
%e A336478    3     2  (1,2,0)
%e A336478    4     8  (2,0,1)
%e A336478    5     5  (2,1,0)
%e A336478    6     9  (2,0,1)
%e A336478    7     4  (1,2,0)
%e A336478    8     6  (2,0,1)
%e A336478    9     7  (3,0,1)
%e A336478   10    12  (3,2,0)
%e A336478   11    10  (3,2,1)
%e A336478   12    13  (4,2,0)
%e A336478   13    15  (4,1,0)
%e A336478   14    11  (4,0,1)
%o A336478 (PARI) See Links section.
%Y A336478 Cf. A321683, A322845, A336285.
%K A336478 nonn,look,base
%O A336478 1,2
%A A336478 _Rémy Sigrist_, Jul 22 2020