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!)
A175065 Smallest perfect power m for which there are exactly n ways to write m as x^y with x >= 2, y >= 1. 2

%I #26 Aug 19 2016 04:46:26

%S 4,16,64,65536,4096,18446744073709551616,16777216,68719476736,

%T 281474976710656

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

%C a(10) is 2^1024 and is too big to display. - _Joerg Arndt_, Aug 17 2016.

%F a(n) = 2^d(s) where s is the least number having d(s) = A000005(s) = n. - _David A. Corneth_, Aug 17 2016

%F a(n) = 2^A005179(n). - _Joerg Arndt_, Aug 17 2016

%e 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.

%e a(7) = 2^64, a(8) = 16777216. See A175064, A001597.

%Y Cf. A000005, A001597, A175064.

%K nonn

%O 2,1

%A _Jaroslav Krizek_, Jan 23 2010

%E More terms from _David A. Corneth_ and _Joerg Arndt_, Aug 17 2016

%E Edited by _N. J. A. Sloane_, Aug 18 2016

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 April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)