login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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 A288949 A108190

Adjacent sequences:  A193066 A193067 A193068 * A193070 A193071 A193072

KEYWORD

base,nonn

AUTHOR

Colin Rose, Aug 08 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 22:28 EDT 2018. Contains 316378 sequences. (Running on oeis4.)