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




{n←⍵ ⋄ (+∘1)⍣{n=+/10⊥⍣¯1⊢⍺×n}⊢0 } ¨ 7 10⍴⍳70