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%I A119710 #9 Jul 22 2017 23:44:55
%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);
%e A119710 2378 = -23 + sqrt(7^8).
%t A119710 Mathematica code to be available at: http://www.numq.com/pwn/
%Y A119710 Cf. A080035.
%K A119710 base,nonn
%O A119710 1,1
%A A119710 _Colin Rose_, Jun 10 2006

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