100 Simplified Tricks
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Can anyone think of a clever way for simplifying this expression: Y + Y^2*Z + Y^3*z^3 + Y^4*Z^6 + Y^5*Z^10...
The Y values are going up in positive integers. The Z values are going up in triangular numbers ie 1/2n*(n+1).
There will be around 100 terms and I guess I could factorise and make it an iterative thing ie Y*(1 + YZ*(1+Y*Z^2(1+Y*Z^3 etc) but is there anything else I can do so I don't have such a big calculation as I want my computer to do as least work as possible.
Maybe using logarithms and any tricks from sequences/series? Thanks for any help.
You could try using factorials, which involve recursion, and save some processing time.
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