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 A175065 Smallest perfect power m for which there are exactly n ways to write m as x^y with x >= 2, y >= 1. 2
 4, 16, 64, 65536, 4096, 18446744073709551616, 16777216, 68719476736, 281474976710656 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS a(10) is 2^1024 and is too big to display. - Joerg Arndt, Aug 17 2016. LINKS 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

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Last modified May 18 19:58 EDT 2021. Contains 344002 sequences. (Running on oeis4.)