login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A057287 Numbers n such that n | 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n. 0
1, 2, 3, 4, 6, 9, 12, 21, 27, 63, 81, 147, 189, 243, 441, 567, 678, 729, 996, 1029, 1323, 1449, 1572, 1701, 2187, 2781, 3087, 3969, 5103, 6561, 7203, 8444, 8754, 9261, 11907, 13041, 13293, 15309, 19683, 21609, 23667, 23949, 25188, 26019, 27491 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..45.

MATHEMATICA

Select[ Range[ 10^5 ], Mod[ PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ] + PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ] + PowerMod[ 2, #, # ], # ] == 0 & ]

Select[Range[30000], Divisible[Total[Range[2, 10]^#], #]&] (* Harvey P. Dale, Aug 14 2013 *)

CROSSREFS

Sequence in context: A111791 A178479 A057285 * A056751 A189035 A137446

Adjacent sequences:  A057284 A057285 A057286 * A057288 A057289 A057290

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Sep 22 2000

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 20 07:54 EDT 2022. Contains 353852 sequences. (Running on oeis4.)