A341162 Computing a(n) modulo (digit sum of a(n)) for the successive terms of the sequence results in a sequence that has the same succession of digits as this one.

11, 13, 17, 15, 41, 29, 43, 38, 14, 56, 16, 19, 25, 23, 31, 28, 91, 44, 53, 34, 97, 46, 101, 57, 22, 55, 26, 33, 35, 68, 74, 69, 106, 64, 89, 61, 39, 47, 92, 93, 37, 104, 58, 49, 79, 71, 32, 67, 124, 125, 82, 62, 51, 52, 59, 137, 66, 88, 77, 116, 83, 99, 65, 96, 134, 151, 118, 109, 136, 98, 119, 154, 85, 129, 86

Offset

1,1

Comments

This is the lexicographically earliest sequence of distinct terms > 0 with this property.

Links

Carole Dubois, Table of n, a(n) for n = 1..5000

Example

............n:  1   2   3   4   5   6   7   8 ...
.........a(n): 11, 13, 17, 15, 41, 29, 43, 38
Digitsum (DS):  2   4   8   6   5  11   7  11
..a(n) mod DS:  1   1   1   3   1   7   1   5 <- same dig. succ. as the sequence.

Crossrefs

Cf. A007953, A070635, A229110.

Sequence in context: A211021 A364003 A214746 * A205693 A068569 A124176

Adjacent sequences: A341159 A341160 A341161 * A341163 A341164 A341165

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved