A Double Recurrence (Solved)

Summary: A doubly indexed recurrence relation and initial conditions are given which determine a function from $\NN \times \NN$ to the rationals, or alternatively to a matrix of rationals in which the rows and columns consist of infinite sequences. The tasks are to find an expression for the function; in addition, the problem asks for the diagonal entries and the row sums of the matrix.

Classification: Primary, classical analysis; Secondary, sequences and series

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