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A119710
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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.
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1
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729, 1296, 1764, 2378, 2744, 2746, 3645, 4372, 4374, 4913, 5184, 6495, 6859, 8192
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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There are only 14 radical narcissistic integers n < 10000.
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REFERENCES
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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.
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LINKS
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Table of n, a(n) for n=1..14.
C. Rose, Pretty Wild Narcissistic Numbers - numbers that pwn (2006)
Wikipedia, Friedman number
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EXAMPLE
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729 = (7 + 2)^sqrt(9);
2378 = -23 + sqrt(7^8).
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MATHEMATICA
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Mathematica code to be available at: http://www.numq.com/pwn/
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CROSSREFS
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Cf. A080035.
Sequence in context: A054259 A202455 A046319 * A043455 A267697 A232925
Adjacent sequences: A119707 A119708 A119709 * A119711 A119712 A119713
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KEYWORD
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base,nonn
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AUTHOR
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Colin Rose, Jun 10 2006
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STATUS
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approved
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