If G(x) is the generating function for the sequence {ad,
Chapter 7, Problem 7.4.31(choose chapter or problem)
If G(x) is the generating function for the sequence {ad, what is the generating function for each of these sequences? a) 0, 0, 0, a3 , a4 , a5 , ... (assuming that terms follow the pattern of all but the first three terms) b) ao, 0, aI , 0, a2, 0, ... c) 0, 0, 0, 0, ao, a" a2, ... (assuming that terms follow the pattern of all but the first four terms) d) ao, 2a" 4a2, 8a3 , 16a4 , .. . e) 0, ao, a1/2, a2/3, a3 /4, ... [Hint: Calculus required here.] 1) ao, ao + aI , ao + al + a2, ao + al + a2 + a3 ,
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