1,3

Conjecture: For any positive integer starting value n, iterations of n -> n + (largest digit of n) will eventually join A045844.

Table of n, a(n) for n=1..86.

a(25)=3 because the trajectory for 1 (sequence A045844) starts

1->2->4->8->16->22->24->28->36->42->46...

and the trajectory for 25 starts

25->30->33->36->42->46->52->57...

so the sequence beginning with 25 joins A045844 after 3 steps.

Sequence in context: A198810 A243911 A289660 * A231962 A052441 A221394

Adjacent sequences: A096303 A096304 A096305 * A096307 A096308 A096309

base,nonn

Jason Earls, Jun 26 2004

approved