On Hardy's Apology Numbers

Document Type : Research Paper


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


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.