

A076090


a(1) = 1; for n > 1, smallest number > 1 which is the nth power of the sum of its digits, or 0 if no such number exists.


3



1, 81, 512, 2401, 17210368, 34012224, 612220032, 20047612231936, 3904305912313344, 13744803133596058624, 8007313507497959524352, 2518170116818978404827136, 81920000000000000
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OFFSET

1,2


REFERENCES

Amarnath Murthy, The largest and the smallest mth power whose digits sum /product is its mth root. To appear in Smarandache Notions Journal.
Amarnath Murthy, ebook, " Ideas on Smarandache Notions " MS.LIT


LINKS



FORMULA



EXAMPLE

a(3) = 512 = 8^3 and no smaller number (>1) can have this property. (This has been established in the reference.)


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



