A242945 Numbers n such that n + DigitProd(n) = 10^(A055642(n)).

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

Links

Table of n, a(n) for n=1..9.

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

Adjacent sequences: A242942 A242943 A242944 * A242946 A242947 A242948

Keyword

nonn,base,more,hard

Author

Derek Orr, May 27 2014

Extensions

a(6)-a(9) from Hiroaki Yamanouchi, Jul 10 2014

Status

approved