I am helping my son do some maths homework. We have worked out that there are 204 squares on a chessboard, and we have worked out that this is relative to square numbers.
How can I express a formula tidily? Is there a function that is similar to Factorial but using addition? EG: x=n²+(n+1)²... (n+7)² simplified to a tidier function (where n = 8)?
The formulae for a chessboard is x=1²+2²+3²+4²+5²+6²+7²+8², so how can I use this using n? eg: something like x=(n²)! but without factorial and with the appropriate function?