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

1,2

LINKS

Carole Dubois, Table of n, a(n) for n = 1..5001

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 3-level column.

CROSSREFS

Cf. A010888 (digital root of n).

Sequence in context: A205151 A167691 A107434 * A020508 A158001 A157763

Adjacent sequences:  A334678 A334679 A334680 * A334682 A334683 A334684

KEYWORD

base,nonn

AUTHOR

Eric Angelini and Carole Dubois, May 08 2020

STATUS

approved

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Last modified July 25 03:53 EDT 2021. Contains 346283 sequences. (Running on oeis4.)