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A306994 Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms is digitally balanced.

%I A306994 #10 Mar 21 2019 13:31:39
%S A306994 1,8,2,7,3,6,4,5,30,11,24,13,22,15,20,17,18,19,16,21,14,23,12,25,10,
%T A306994 27,29,9,26,109,32,103,36,99,40,95,44,91,48,87,52,83,56,79,60,75,64,
%U A306994 71,68,67,72,63,76,59,80,55,84,51,88,47,92,43,96,39,100,35
%N A306994 Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms is digitally balanced.
%C A306994 Digitally balanced numbers correspond to A031443.
%H A306994 Rémy Sigrist, <a href="/A306994/b306994.txt">Table of n, a(n) for n = 1..10000</a>
%H A306994 Rémy Sigrist, <a href="/A306994/a306994.gp.txt">PARI program for A306994</a>
%e A306994 The first terms, alongside the binary representation of a(n) + a(n+1), are:
%e A306994   n   a(n)  bin(a(n)+a(n+1))
%e A306994   --  ----  ----------------
%e A306994    1     1              1001
%e A306994    2     8              1010
%e A306994    3     2              1001
%e A306994    4     7              1010
%e A306994    5     3              1001
%e A306994    6     6              1010
%e A306994    7     4              1001
%e A306994    8     5            100011
%e A306994    9    30            101001
%e A306994   10    11            100011
%e A306994   11    24            100101
%e A306994   12    13            100011
%e A306994   13    22            100101
%e A306994   14    15            100011
%e A306994   15    20            100101
%e A306994   16    17            100011
%o A306994 (PARI) See Links section.
%Y A306994 See A306992 for the multiplicative variant.
%Y A306994 Cf. A031443.
%K A306994 nonn,look,base
%O A306994 1,2
%A A306994 _Rémy Sigrist_, Mar 18 2019