Difference Tab -> Algebra

Hey,

I have a difference Table like this:

Code:

---

N        Ts        D1    D2    D3

1x1    1       
2x2    5        4         
3x3    14      9      5
4x4    30      16    7      2
5x5    55      25    9      2
6x6    91      36    11    2
7x7    140    49    13    2

---

D3 contains the pattern, how do i now make a formula to get from N to Ts? I think its like n³ then somthing else which im not sure of.

Thanks for any help,

TNT

Ok, i have got the pattern the one i need is in d1.

Add up all the square numbers in d1 to the value of n then add 1.

E.g

for n = 4, ts =

4 + 9 + 1 = 14 :)


I now need a formula to add up the square numbers, does anyone know any formula for this area?

Thanks
TNT

I think the formula is (1/6)n(n+1)(2n+1).