What does 2008 have in common with 1945?
A mathematician friend of mine with too much time on his hands has pointed out to me that 2008 is the first year since 1945 that is representable as the sum of three positive cubes in exactly two ways:
2008 = 10^3 + 10^3 + 2^3 = 1000 + 1000 + 8
2008 = 12^3 + 6^3 + 4^3 = 1728 + 216 + 64
1945 = 12^3 + 6^3 + 1^3 = 1728 + 216 + 1
1945 = 10^3 + 9^3 + 6^3 = 1000 + 729 + 216
You will have to wait till 2072 before this situation reoccurs.
If the concept of integer sequences really excites you (and who could fail to be thrilled by the idea?), you can find more examples here.