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Jul 3, 2016 at 23:44 comment added Ira Gessel It should be pointed out that this theorem was found earlier by Ralph Fröberg, Determination of a class of Poincaré series. Mathematica Scandinavica, 37(1) 29–39, 1975 and L. Carlitz, R. Scoville, and T. Vaughan, Enumeration of pairs of sequences by rises, falls and levels. Manuscripta Mathematica, 19, 211–243, 1976.
Jun 28, 2016 at 0:30 history answered John Machacek CC BY-SA 3.0