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A193069
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Pretty wild narcissistic numbers - numbers that pwn: - an integer 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. Concatenation is allowed.
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0
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24, 36, 71, 119, 120, 127, 143, 144, 145, 216, 240, 343, 354, 355, 360, 384, 456, 595, 660, 693, 713, 715, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 733, 736, 744, 799, 936
(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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Unlike 'radical narcissistic numbers', the pretty wild variety are allowed to use factorials.
Pretty wild narcissistic numbers nest both radical narcissistic numbers and ordered (nice) Friedman numbers.
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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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EXAMPLE
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24 = (2 Sqrt[4])! , 36 = 3! 6, 127 = -1 + 2^7
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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