Thanks for that help. I am in a bit of rush right now but I will look into that more. I am not really working with a series, just the sequence of integers. For example do you know how to relate 1^3, 2^3, 3^3, 4^3 and so on to 3! ?
Why would the rule be important in order to give me some direction? It is a simple rule applied to all terms of the sequence. Is there a known relationship between integers raised to a specific power and a factorial?
I would like some direction on studying powers of integers and if they are in any way related to factorials. I was studying the sequence of cubics 1, 8, 27, 64, 125 and so. After a certain number of rounds of a basic rule I choose to apply to this sequence, I arrived at a new sequence...