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 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. 1
 729, 1296, 1764, 2378, 2744, 2746, 3645, 4372, 4374, 4913, 5184, 6495, 6859, 8192 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are only 14 radical narcissistic integers n < 10000. REFERENCES J. S. Madachy, Mathematics on Vacation, Thomas Nelson and Sons, (1966), pp. 163 - 175. Colin Rose, "Radical Narcissistic numbers", J. Recreational Mathematics, vol. 33, (2004-2005), pp. 250-254. LINKS C. Rose, Pretty Wild Narcissistic Numbers - numbers that pwn (2006) Wikipedia, Friedman number EXAMPLE 729 = (7 + 2)^sqrt(9); 2378 = -23 + sqrt(7^8). MATHEMATICA Mathematica code to be available at: http://www.numq.com/pwn/ CROSSREFS Cf. A080035. Sequence in context: A054259 A202455 A046319 * A043455 A267697 A232925 Adjacent sequences: A119707 A119708 A119709 * A119711 A119712 A119713 KEYWORD base,nonn AUTHOR Colin Rose, Jun 10 2006 STATUS approved

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Last modified March 28 03:48 EDT 2023. Contains 361577 sequences. (Running on oeis4.)