Find a closed form for the generating function for each
Chapter 7, Problem 7.4.3(choose chapter or problem)
Find a closed form for the generating function for each ofthese sequences. (For each sequence, use the most obvious choice of a sequence that follows the pattern of the initial terms listed.) a) 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, ... b) 0, 0, 0, 1, 1, 1, 1, 1, 1, ... c) 0, 1, 0, 0, 1, 0, 0, 1 , 0, 0, 1, .. . d) 2, 4, 8, 16, 32, 64, 128, 256, .. . e) () , (;) , (). ... , () , 0, 0, 0, 0, 0, ... t) 2, -2, 2, -2, 2, -2, 2, -2, ... g) 1, I, 0, 1, I, 1, 1, 1, 1, 1, ... h) 0, 0, 0, 1, 2, 3, 4, ...
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