7274 refer to Table 1.47, which describes a boustrophedonic pairing function. 30 We can

Chapter 1, Problem 72

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7274 refer to Table 1.47, which describes a boustrophedonic pairing function. 30 We can use this table to list all the positive roots of the positive integers, such as 2, 3, 3 2, 3 3, 4 2, 4 3,..., without omitting any. If n is an entry in the table, we let c stand for the column number and r the row number of the entry and define the function g by g(n) = c 1/r. For instance, if n = 6, then c = 2 and r = 3 so we have g(6) = 21/3, or 3 2.Evaluate g(22).

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