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A306992 Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is digitally balanced.

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