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A242945
Numbers n such that n + DigitProd(n) = 10^(A055642(n)).
3
5, 91, 919, 7795, 7984, 9968647168, 9991319797, 9999761914432, 9999982446427242496
OFFSET
1,1
COMMENTS
It is not known if this sequence is finite or infinite.
a(10) (if it exists) is > 10^300. - Max Alekseyev, Jan 15 2015
EXAMPLE
919 + 9*1*9 = 1000 = 10^3. Thus 919 is a member of this sequence.
PROG
(PARI) DP(n)=p=1; for(i=1, #digits(n), p*=digits(n)[i]); return(p)
for(n=1, 10^6, if((n+DP(n))==10^(#Str(n)), print(n)))
CROSSREFS
Cf. A007954.
Sequence in context: A282052 A152299 A355371 * A243198 A091281 A343009
KEYWORD
nonn,base,more,hard
AUTHOR
Derek Orr, May 27 2014
EXTENSIONS
a(6)-a(9) from Hiroaki Yamanouchi, Jul 10 2014
STATUS
approved