A334837 The digital sum of a(n+1) divides a(n). This is the lexicographically earliest sequence of positive distinct terms with this property.
1, 10, 2, 11, 29, 100, 4, 13, 49, 7, 16, 8, 17, 89, 1000, 5, 14, 20, 19, 199, 10000, 22, 38, 101, 100000, 23, 599, 1000000, 26, 58, 110, 28, 25, 32, 31, 4999, 10000000, 35, 34, 98, 43, 79999, 100000000, 37, 19999, 52, 40, 41, 59999, 1000000000, 44, 47, 299999, 61
Offset: 1
Examples
a(1) = 1 is divisible by the digital sum of a(2) = 10 as 1 + 0 = 1; a(2) = 10 is divisible by the digital sum of a(3) = 2 which is 2; a(3) = 2 is divisible by the digital sum of a(4) = 11 as 1 + 1 = 2; a(4) = 11 is divisible by the digital sum of a(5) = 29 as 2 + 9 = 11; etc.
Links
- Carole Dubois, Table of n, a(n) for n = 1..310
Crossrefs
Cf. A334737 (digital root instead of digital sum).
Comments