

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
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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, (20042005), pp. 250254.
Inder J. Taneja, Selfie NumbersIV: Addition, Subtraction and Factorial, RGMIA Research Report Collection, 19 (2016), #163, pp. 142, http://rgmia.org/v19.php
Inder J. Taneja, Selfie Numbers, Fibonacci Sequence and Selfie Fractions, RGMIA Collection, 19 (2016), #167, pp. 124, http://rgmia.org/v19.php


LINKS

Table of n, a(n) for n=1..38.
C. Rose, Pretty Wild Narcissistic Numbers  numbers that pwn
Wikipedia, Friedman number


EXAMPLE

24 = (2 Sqrt[4])! , 36 = 3! 6, 127 = 1 + 2^7


CROSSREFS

Cf. A080035, A119710
Sequence in context: A281925 A261022 A179152 * A278474 A327946 A288949
Adjacent sequences: A193066 A193067 A193068 * A193070 A193071 A193072


KEYWORD

base,nonn


AUTHOR

Colin Rose, Aug 08 2011


STATUS

approved



