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Mar 29, 2016 at 7:15 comment added J. M.'s missing motivation Yes, Residue[] would be the more readable procedure (and SeriesCoefficient[] the most convenient); since you were asking about Integrate[], I brought out one of my usual examples. This is another one.
Mar 29, 2016 at 7:09 comment added tparker Also, your example doesn't really need a specified contour at all - you can just do Table[Residue[z^-n/(1 - z - z^2), {z, 0}], {n, 5}] :)
Mar 29, 2016 at 7:03 comment added tparker Good eye - that's an extremely not-very-prominent spot ...
Mar 29, 2016 at 7:02 vote accept tparker
Mar 29, 2016 at 6:54 history answered J. M.'s missing motivation CC BY-SA 3.0