(a) For what sequence of numbers is g(x) = (1 - 2x) -5/2 the exponential generating function?...

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(a) For what sequence of numbers is g(x) = (1 - 2x) -5/2 the exponential generating function?
(b) Find a and b so that (1 - ax)b is the exponential generating function for the sequence 1,7, 7 • 11, 7 • 11 • 15, ....
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