%N Numbers having a digit 0 or 5 whose waterfall sequence does not end in 0,0,0,....
%C The "waterfall" sequence S for a given starting value S(1)>9 is defined as S(n)=d(n)*d(n-1) (n>1), where d(n) is the n-th digit of the sequence.
%C Initial values having a digit 0 or 5 are likely to end in repeating zeros, which motivates the definition of this sequence. See A210652 for further information.
%o (PARI) is_A210653(n)= setintersect(["0","5"],Set(Vec(Str(n)))) & !is_A210652(n)
%o for(n=10,1999, is_A210653(n) & print1(n", "))
%Y Cf. A210614.
%A _M. F. Hasler_, Mar 27 2012