%I A119710
%S A119710 729,1296,1764,2378,2744,2746,3645,4372,4374,4913,5184,6495,6859,8192
%N A119710 Radical narcissistic numbers: numbers n that can be expressed using just 
               the digits of n (each digit used once only and in order from left 
               to right) and the operators + - * / ^ and the radical symbol, but 
               which are not already 'Good' Friedman numbers (i.e. the radical is 
               needed for the solution to exist). Concatenation is allowed.
%C A119710 There are only 14 radical narcissistic integers n < 10000.
%D A119710 J. S. Madachy, Mathematics on Vacation, Thomas Nelson and Sons, (1966), 
               pp. 163 - 175.
%D A119710 Colin Rose, "Radical Narcissistic numbers", J. Recreational Mathematics, 
               vol. 33, (2004-2005), pp. 250-254.
%H A119710 C. Rose, <a href="http://www.numq.com/pwn/">Pretty Wild Narcissistic 
               Numbers - numbers that pwn</a> (2006)
%H A119710 Wikipedia, <a href="http://en.wikipedia.org/wiki/Friedman_number">Friedman 
               number</a>
%e A119710 729 = (7+2)^Sqrt[9] <BR>
%e A119710 2378 = -23 + Sqrt[7^8]
%t A119710 Mathematica code to be available at: http://www.numq.com/pwn/
%Y A119710 Cf. A080035.
%Y A119710 Sequence in context: A088035 A054259 A046319 this_sequence A043455 A139308 
               A167728
%Y A119710 Adjacent sequences: A119707 A119708 A119709 this_sequence A119711 A119712 
               A119713
%K A119710 base,nonn
%O A119710 1,1
%A A119710 Colin Rose (colin(AT)tri.org.au), Jun 10 2006