OFFSET
1,2
COMMENTS
Trivially, numbers in A037124 satisfy this but are not included in this sequence.
It is not known if a(n) is infinite.
a(54) (if it exists) is > 10^49. - Hiroaki Yamanouchi, Jul 10 2014
LINKS
Hiroaki Yamanouchi, Table of n, a(n) for n = 1..53
EXAMPLE
272+2*7*2 = 300 is divisible by the highest power of 10 lower than 300 (in this case, 100). Thus 272 is a member of this sequence.
PROG
(PARI) DP(n)={p=1; d= digits(n); for(i=1, #d, p*=d[i]); return(p))}
for(n=1, 10^7, if(n%10!=0&&(n+DP(n))%10^(#Str(n+DP(n))-1)==0, print1(n, ", ")))
CROSSREFS
KEYWORD
nonn,base,hard
AUTHOR
Derek Orr, May 27 2014
EXTENSIONS
a(34)-a(38) from Hiroaki Yamanouchi, Jul 10 2014
STATUS
approved