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ISL 1979 Problem 32

    Let n,k≥1n, k \ge 1 be natural numbers. Find the number A(n,k)A(n, k) of solutions in integers of the equation ∣x1∣+∣x2∣+⋯+∣xk∣=n|x_1| + |x_2| +\cdots + |x_k| = n

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