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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.
3
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
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
KEYWORD
nonn,look,base
AUTHOR
STATUS
approved