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A242945 Numbers n such that n + DigitProd(n) = 10^(A055642(n)). 3

%I

%S 5,91,919,7795,7984,9968647168,9991319797,9999761914432,

%T 9999982446427242496

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

%C It is not known if this sequence is finite or infinite.

%C a(10) (if it exists) is > 10^300. - _Max Alekseyev_, Jan 15 2015

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

%o (PARI) DP(n)=p=1;for(i=1,#digits(n),p*=digits(n)[i]);return(p)

%o for(n=1,10^6, if((n+DP(n))==10^(#Str(n)),print(n)))

%Y Cf. A007954.

%K nonn,base,more,hard

%O 1,1

%A _Derek Orr_, May 27 2014

%E a(6)-a(9) from _Hiroaki Yamanouchi_, Jul 10 2014

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Last modified September 24 10:18 EDT 2020. Contains 337317 sequences. (Running on oeis4.)