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Re: How would I compute this?
Posted:
Dec 14, 2017 11:50 PM


On Monday, November 13, 2017 at 8:10:11 AM UTC5, Aydon wrote: > For some background information, I don't actually have formal training in math beyond arithmetic and I only found out that the sequence involved with my messing around is called the square pyramidal sequence after caving and asking someone two years ago. > > So as the above sentence suggests, there's game (equations? formula? function?) I've penandpapered with myself for years that involves the square pyramidal sequence. > > For example I take 3: > > 3  9  14 > And on one side of the paper, I'd write: > > 3 > > 42 > > The other side would have the variable in particular and might look like for example. > > 1 > > 1.5 > > The problems between these two would then go as follows: > > 9÷4.5=2 > > 1÷(0.42)=2.38 > > The 2.38 is greater than 2, so I'd change the 3 to a 4 on the one side of the paper and have: > > 4 > > 1.2 > > And the problems will go as: > > 16÷4.5=3.56 > > 1÷1.2= 0.833. > > There's other rules I throw in to the game that is effectively a sort of pen and paper numbers simulation, but for now, if anyone can see the pattern I go through with here, what's a shorthand way to put these (functions? Formulas? Equations?) into code to reduce human error in sorting out my answers? > > I also apologize if I don't know whether to call these functions or formulas. Again, I don't have a lot of knowledge in math terminology.
As mentioned above, I don't have the slightest idea about what you are trying to do. However, I looked up the square pyramidal sequence and learned that the partial sums are just
S(n) = sum(i=1:n){ i^2 }
...
S1 = 1, S2 = 5, S3 = 14, S3 = 39,...
Greg



