In Exercises 3-8, by a closed form we mean an algebraic expression not involving a summation over a range of values or the use of ellipses.
Find a closed form for the generating function for each of these 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, i6, 32, 64, 128, 256,
e)
f)
g) 1,1,0,1,1,1,1,1,1,1,...
h) 0,0,0, 1,2,3,4,..
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Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
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