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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 (list; graph; refs; listen; history; text; internal format)
 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. Inder J. Taneja, Selfie Numbers-IV: Addition, Subtraction and Factorial, RGMIA Research Report Collection, 19 (2016), #163, pp. 1-42, http://rgmia.org/v19.php Inder J. Taneja, Selfie Numbers, Fibonacci Sequence and Selfie Fractions, RGMIA Collection, 19 (2016), #167, pp. 1-24, http://rgmia.org/v19.php LINKS 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 A288949 A108190 Adjacent sequences:  A193066 A193067 A193068 * A193070 A193071 A193072 KEYWORD base,nonn AUTHOR Colin Rose, Aug 08 2011 STATUS approved

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Last modified January 22 18:06 EST 2019. Contains 319365 sequences. (Running on oeis4.)