A306994 - OEIS

%I #10 Mar 21 2019 13:31:39

%S 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 27,29,9,26,109,32,103,36,99,40,95,44,91,48,87,52,83,56,79,60,75,64,

%U 71,68,67,72,63,76,59,80,55,84,51,88,47,92,43,96,39,100,35

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

%C Digitally balanced numbers correspond to A031443.

%H Rémy Sigrist, <a href="/A306994/b306994.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A306994/a306994.gp.txt">PARI program for A306994</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              1001

%e    2     8              1010

%e    3     2              1001

%e    4     7              1010

%e    5     3              1001

%e    6     6              1010

%e    7     4              1001

%e    8     5            100011

%e    9    30            101001

%e   10    11            100011

%e   11    24            100101

%e   12    13            100011

%e   13    22            100101

%e   14    15            100011

%e   15    20            100101

%e   16    17            100011

%o (PARI) See Links section.

%Y See A306992 for the multiplicative variant.

%Y Cf. A031443.

%K nonn,look,base

%O 1,2

%A _Rémy Sigrist_, Mar 18 2019