Generate the sequence a(n) when each element is the minimum integer multiple m such that the digit sum of n times m is equal to n.



Task
 Find the first 40 elements of the sequence.


Stretch
 Find the next 30 elements of the sequence.


See also
 OEIS:A131382 - Minimal number m such that Sum_digits(n*m)=n




 
findfirst=: {{
  ($:@((+1+i.@+:)@#)@[`(+&{. I.)@.(1 e. ]) u) ,1
}}
 
A131382=: {{y&{{x = sumdigits x*y}} findfirst}}"0
 
sumdigits=: +/@|:@(10&#.inv)