cp's OEIS Frontend

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.

%I A193069 #15 Jul 12 2022 12:59:59
%S A193069 24,36,71,119,120,127,143,144,145,216,240,343,354,355,360,384,456,595,
%T A193069 660,693,713,715,719,720,721,722,723,724,725,726,727,728,729,733,736,
%U A193069 744,799,936
%N 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.
%C A193069 Unlike 'radical narcissistic numbers', the pretty wild variety are allowed to use factorials.
%C A193069 Pretty wild narcissistic numbers nest both radical narcissistic numbers and ordered (nice) Friedman numbers.
%D A193069 J. S. Madachy, Mathematics on Vacation, Thomas Nelson and Sons, (1966), pp. 163 - 175.
%D A193069 Colin Rose, "Radical Narcissistic numbers", J. Recreational Mathematics, vol. 33, (2004-2005), pp. 250-254.
%H A193069 C. Rose, <a href="http://www.numq.com/pwn/">Pretty Wild Narcissistic Numbers - numbers that pwn</a>
%H A193069 Inder J. Taneja, <a href="https://rgmia.org/papers/v19/v19a163.pdf">Selfie Numbers-IV: Addition, Subtraction and Factorial</a>, RGMIA Research Report Collection, 19 (2016), #163, pp. 1-42.
%H A193069 Inder J. Taneja, <a href="https://rgmia.org/papers/v19/v19a167.pdf">Selfie Numbers, Fibonacci Sequence and Selfie Fractions</a>, RGMIA Collection, 19 (2016), #167, pp. 1-24.
%H A193069 Wikipedia, <a href="http://en.wikipedia.org/wiki/Friedman_number"> Friedman number </a>
%e A193069 24 = (2 Sqrt[4])! , 36 = 3! 6,  127 = -1 + 2^7
%Y A193069 Cf. A080035, A119710
%K A193069 base,nonn
%O A193069 1,1
%A A193069 _Colin Rose_, Aug 08 2011