login
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
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.
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
KEYWORD
base,nonn
AUTHOR
Colin Rose, Jun 10 2006
STATUS
approved