This can be calculated using the formula for the sum of numbers from 1 to n (arithmetic progression) and the sum of squares. (There is also a formula for the sum of cubes -- the first that popped up in a search.)
Hi,
I was just playing around end ended up trying to find a closed form of the following sum,
Writing it out I get,
which is,
which is,
and so on...
I'm not sure what to make of this though. Could someone help me out finding a closed form for this sum?
This can be calculated using the formula for the sum of numbers from 1 to n (arithmetic progression) and the sum of squares. (There is also a formula for the sum of cubes -- the first that popped up in a search.)
Hello, Mollier!
I was just playing around end ended up trying to find
a closed form of the following sum: .
The sequence: . are Tetrahedral Numbers.
They are the number of balls in a triangular pyramid of balls.
You must imagine these triangles "stacked up".
The term is this sequence is: .