%I #11 Mar 21 2019 13:28:32
%S 1,2,5,7,6,25,9,15,10,17,12,13,4,3,14,11,18,31,19,29,8,23,26,22,40,63,
%T 33,69,36,67,34,21,99,27,30,82,28,81,35,61,16,47,50,53,48,73,37,20,41,
%U 56,45,49,43,52,51,42,54,46,55,44,57,38,65,127,66,135,70
%N Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is digitally balanced.
%C Digitally balanced numbers correspond to A031443.
%C This sequence has similarities with A269361.
%H Rémy Sigrist, <a href="/A306992/b306992.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A306992/a306992.gp.txt">PARI program for A306992</a>
%e The first terms, alongside the binary representation of a(n)*a(n+1), are:
%e n a(n) bin(a(n)*a(n+1))
%e   
%e 1 1 10
%e 2 2 1010
%e 3 5 100011
%e 4 7 101010
%e 5 6 10010110
%e 6 25 11100001
%e 7 9 10000111
%e 8 15 10010110
%e 9 10 10101010
%e 10 17 11001100
%e 11 12 10011100
%e 12 13 110100
%e 13 4 1100
%e 14 3 101010
%e 15 14 10011010
%e 16 11 11000110
%o (PARI) See Links section.
%Y See A306994 for the additive variant.
%Y Cf. A031443, A269361.
%K nonn,look,base
%O 1,2
%A _Rémy Sigrist_, Mar 18 2019
