Document Type : Research Paper

Authors

• Dr. Henk Koppelaar ¹
• Peyman Nasehpour ²

¹ Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Delft, The NetherlandsVredenburchstede 20

² Department of Engineering Science \\ Golpayegan University of Technology

Abstract

Twelve well known `Recreational' numbers are generalized and classified in three generalized types Hardy, Dudeney, and Wells. A novel proof method to limit the search for the numbers is exemplified for each of the types. Combinatorial operators are defined to ease programming the search.

Keywords

• Hardy's apology numbers
• Armstrong numbers
• Dudeney numbers
• Wells numbers