

A175065


Smallest perfect power m for which there are exactly n ways to write m as x^y with x >= 2, y >= 1.


2




OFFSET

2,1


COMMENTS

a(10) is 2^1024 and is too big to display.  Joerg Arndt, Aug 17 2016.


LINKS

Table of n, a(n) for n=2..10.


FORMULA

a(n) = 2^d(s) where s is the least number having d(s) = A000005(s) = n.  David A. Corneth, Aug 17 2016
a(n) = 2^A005179(n).  Joerg Arndt, Aug 17 2016


EXAMPLE

For n = 6, a(6) = 4096: there are 6 ways to write 4096 as x^y: 4096^1 = 64^2 = 16^3 = 8^4 = 4^6 = 2^12.
a(7) = 2^64, a(8) = 16777216. See A175064, A001597.


CROSSREFS

Cf. A000005, A001597, A175064.
Sequence in context: A005401 A002923 A013149 * A033140 A181879 A243872
Adjacent sequences: A175062 A175063 A175064 * A175066 A175067 A175068


KEYWORD

nonn


AUTHOR

Jaroslav Krizek, Jan 23 2010


EXTENSIONS

More terms from David A. Corneth and Joerg Arndt, Aug 17 2016
Edited by N. J. A. Sloane, Aug 18 2016


STATUS

approved



