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A193069
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.
0
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
OFFSET
1,1
COMMENTS
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.
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
Inder J. Taneja, Selfie Numbers-IV: Addition, Subtraction and Factorial, RGMIA Research Report Collection, 19 (2016), #163, pp. 1-42.
Inder J. Taneja, Selfie Numbers, Fibonacci Sequence and Selfie Fractions, RGMIA Collection, 19 (2016), #167, pp. 1-24.
EXAMPLE
24 = (2 Sqrt[4])! , 36 = 3! 6, 127 = -1 + 2^7
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Colin Rose, Aug 08 2011
STATUS
approved