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set theory: 13. Define third-order Fibonacci numbers as follows: fi = 1, f = 1, f3 = 1, and f.+3 = f,+2 + f +1+f

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13. Define "third-order" Fibonacci numbers as follows: fi = 1, f = 1, f3 = 1, and f.+3 = f,+2 + f +1+f for n 21. (a) Calculate the first 10 third-order Fibonacci numbers f , ff. (b) Find a formula for f+4 - n+1 (c) Write a definition for "fourth-order" Fibonacci numbers ers f, f, fz..., 10

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