Experiments With a Positivity Preserving Operator

By Manuel Kauers and Doron Zeilberger

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[Appeared in Experimental Mathematics 17 (2008), 341-345.]
Written: Aug. 23, 2007.
What is so nice about this little note, written in collaboration with the amazing young experimental mathematican Manuel Kauers, is that it is completely theorem-less. Yet I believe that those "empirical results" are all correct more than I believe in the truth of many proved theorems. The empirical evidence is so overwhelming that perhaps it is not worth the trouble to try and "prove" them "rigorously".
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