

A334681


Lexicographically earliest sequence of distinct positive integers such that the digital root of the cumulative sum so far divides a(n).


1



1, 9, 10, 8, 12, 6, 16, 2, 18, 27, 28, 14, 3, 36, 40, 5, 42, 4, 17, 45, 46, 20, 15, 48, 21, 22, 24, 11, 54, 63, 64, 26, 72, 81, 82, 30, 23, 84, 33, 85, 32, 88, 29, 90, 99, 100, 35, 105, 25, 41, 108, 117, 118, 44, 120, 34, 53, 126, 130, 50, 135, 136, 56, 51, 144, 153, 154, 62, 156, 52, 71, 160, 38, 162, 168, 39
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OFFSET

1,2


LINKS



EXAMPLE

The sequence starts hereunder with the S line (this sequence); then comes the Q line (cumulative sum of S' terms); then comes the R line (digital root of Q at this point):
S = 1, 9, 10, 8, 12, 6, 16, 2, 18, 27, 28, 14, 3, 36, 40,...
Q = 1, 10, 20, 28, 40, 46, 62, 64, 82, 109, 137, 151, 154, 190, 230,...
R = 1, 1, 2, 1, 4, 1, 8, 1, 1, 1, 2, 7, 1, 1, 5,...
We see that the term R divides the term S on top of the 3level column.


CROSSREFS



KEYWORD

base,nonn


AUTHOR



STATUS

approved



