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User talk:Michael Somos

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G. f.

Could you please explain what useful purposes do the "explicit g. f. series" serve? I don't claim anything, I'm just trying to understand. (Also, I can't understand why do you call it yours since you seem to have no edits in, say, A015093...) Andrey Zabolotskiy 13:50, 27 December 2016 (UTC)

Sure. In many cases users ignore the OFFSET and assume it is 0 or 1 and without looking at the "list" link you can not tell easily what a(1), a(2), ... is. In other cases, the g.f. is the primary object of interest and the sequence is merely the coefficients of the power series. In some cases, the g.f. has zeros ommitted and so the sequence terms are only a section of the actual series, so in these cases, it is good to have both series because there is missing information. For an example of this look at some McKay-Thompson series or A280339. These are enough reasons for me. I seem to be one of the very few people who regularly supply an EXAMPLE g.f. but there are others. I don't attribute it, so I assume it is one of mine, but it is not always true.

Thanks for the explanation! Andrey Zabolotskiy 14:52, 1 January 2017 (UTC)