%I A007666 M3753
%S A007666 1,5,6,353,72
%N A007666 a(n) = smallest number k such that k^n is sum of n n-th powers, or 0 
               if no solution exists.
%C A007666 a(7) = 568 and a(8) = 1409. - J. Lowell, jhbubby(AT)mindspring.com, Jul 
               25 2007
%D A007666 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007666 D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. 
               Penguin Books, NY, 1986, 164.
%H A007666 Author?, <a href="http://euler.free.fr/faq.htm">FAQ File</a>
%H A007666 Author?, <a href="http://euler.free.fr/resta.htm">Title</a>
%e A007666 5^2 = 3^2+4^2; 6^3 = 3^3+4^3+5^3; 353^4 = 30^4+120^4+272^4+315^4; 72^5 
               = 19^5+43^5+46^5+47^5+67^5
%Y A007666 k^n = T(n, 1)^n + .. + T(n, n)^n, where T() is given in A061988.
%Y A007666 Sequence in context: A042089 A156191 A042387 this_sequence A064177 A042721 
               A048658
%Y A007666 Adjacent sequences: A007663 A007664 A007665 this_sequence A007667 A007668 
               A007669
%K A007666 nonn,hard,nice
%O A007666 1,2
%A A007666 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
%E A007666 The next term has been claimed to be 1141, but this is incorrect. In 
               fact 1141 is the sum of seven 6th powers. - Jud McCranie (j.mccranie(AT)comcast.net), 
               Jun 10 2007
%E A007666 a(6) is either 0 (no solution) or greater than 272580 (see above link 
               to resta.htm page). - Jon Schoenfield, Jun 10 2007