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

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

Crossrefs

Cf. A332804.

Sequence in context: A130311 A063672 A070606 * A073731 A179937 A198487

Adjacent sequences: A332800 A332801 A332802 * A332804 A332805 A332806

Keyword

nonn,look,base

Author

Eric Angelini and Jean-Marc Falcoz, Feb 25 2020

Status

approved