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

5, 91, 919, 7795, 7984, 9968647168, 9991319797, 9999761914432, 9999982446427242496

Offset: 1

Author

Derek Orr, May 27 2014

Keywords

• nonn
• base
• more
• hard

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

Examples

			919 + 9*1*9 = 1000 = 10^3. Thus 919 is a member of this sequence.
		

Crossrefs

Cf. A007954.

Programs

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)))

Extensions

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