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

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

• base
• nonn

Comments

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

Examples

			............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.
		

Links

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

Crossrefs

Cf. A007953, A070635, A229110.