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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

Table of n, a(n) for n=1..14.

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 December 9 06:57 EST 2016. Contains 278963 sequences.