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Power series - what does the notation mean?

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Power series - what does the notation mean?

I have to compute sums of four series (programmatically). All I have is this:

J1 = (3e1/2 - 27e13/32 ..)
J2 = (21e12/16 - 55e14/32 ..)
J3 = (151e13/96 ..)
J4 = (1097e14/512 ..)

So far in such cases I was finding a relation between the following elements of the sum and created a loop that did the job (Is there a better way??). Now, as I have very few elements of the above I need to find the 'general rule' that would work for all four. Could you help?


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