A332803 - OEIS

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A332803

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

10, 1, 12, 3, 2, 6, 28, 34, 62, 9, 61, 5, 8, 16, 7, 22, 82, 33, 24, 125, 72, 64, 286, 36, 840, 14, 25, 550, 622, 68, 69, 72100, 81, 84, 818, 621, 88, 724, 37, 30, 59, 31, 27, 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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

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

The variant where duplicated terms are allowed is A332804.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..20005

EXAMPLE

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

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

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