RATE - A Mathematica guessing machine. The file rate.m (given the - in this case - unwanted simplification features of the recent versions of Mathematica, I recommend to use rate2.m) allows you to guess a closed form expression (if existent) for a sequence of numbers, given the first few terms of the sequence. (See the appendix of my paper ”Advanced determinant calculus” for explanations of how the program works.)

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