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Lexicographically earliest sequence of distinct terms > 0 such that the terms' cumulative sum and the sequence itself have the same digit succession.
3

%I #11 Feb 25 2020 11:20:54

%S 10,1,12,3,2,6,28,34,62,9,61,5,8,16,7,22,82,33,24,125,72,64,286,36,

%T 840,14,25,550,622,68,69,72100,81,84,818,621,88,724,37,30,59,31,27,

%U 319,67,52,96,75,377,754,617,627,97,6900,76,98,87,77,127,774,977,779,778,38,7786,9778,967,821,57

%N Lexicographically earliest sequence of distinct terms > 0 such that the terms' cumulative sum and the sequence itself have the same digit succession.

%C This sequence is conjectured to be a permutation of the integers > 0.

%C The variant where duplicated terms are allowed is A332804.

%H Jean-Marc Falcoz, <a href="/A332803/b332803.txt">Table of n, a(n) for n = 1..20005</a>

%e Below are S, the sequence, and Q, the cumulative sum:

%e S = 10, 1,12, 3, 2, 6,28,34, 62, 9, 61, 5, 8, 16,...

%e Q = 10,11,23,26,28,34,62,96,158,167,228,233,241,257,...

%e We see that S and Q have the same succession of digits.

%Y Cf. A332804.

%K nonn,look,base

%O 1,1

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Feb 25 2020