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Position[Partition[Table[Cos[n], {n, 200}], 3, 1], _?(#[[1]]>0&&#[[3]]<0&), 1, Heads->False]//Flatten (* Harvey P. Dale, Jan 26 2018 *)
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(PARI) is(n) = cos(n) > 0 && cos(n+2) < 0 \\ Felix Fröhlich, Oct 14 2016
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