Stanley's theorem on codimension 3 Gorenstein $h$-vectors

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In this note we supply an elementary proof of the following well-known theorem of R. Stanley: the $h$-vectors of Gorenstein algebras of codimension 3 are SI-sequences, i.e. are symmetric and the first difference of their first half is an $O$-sequence.
6 pages. Proc. of the A.M.S., to appear

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