I'm an alt-aholic so I have a few data points for you:
Level 49 to 50: 454634 exp
Level 25 to 26: 136490 exp
Level 24 to 25: 126595 exp
Level 21 to 22: 99110 exp
Level 16 to 17: 60630 exp
Level 14 to 15: 47800 exp
Level 8 to 9: 15200 exp
Level 5 to 6: 7375 exp
Level 3 to 4: 3550 exp
Level 1 to 2: 535
I'm also a math geek and would be happy to help with this or any other mechanics derivation projects you're working on.