login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A242945 Numbers n such that n + DigitProd(n) = 10^(A055642(n)). 3
5, 91, 919, 7795, 7984, 9968647168, 9991319797, 9999761914432, 9999982446427242496 (list; graph; refs; listen; history; text; internal format)
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: A038636 A282052 A152299 * A243198 A091281 A109625

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)