

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

Table of n, a(n) for n=1..13.


FORMULA

For n > 1, a(n) = A046017(n)^n.  David Wasserman, Mar 25 2005
a(n)=A072408(n), n>1. [From R. J. Mathar, Sep 23 2008]


EXAMPLE

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


CROSSREFS

Cf. A046017.
Sequence in context: A235527 A297122 A128912 * A183428 A236663 A236645
Adjacent sequences: A076087 A076088 A076089 * A076091 A076092 A076093


KEYWORD

nonn,base


AUTHOR

Amarnath Murthy, Oct 07 2002


EXTENSIONS

More terms from David Wasserman, Mar 25 2005


STATUS

approved



