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5x + 2y + z = 10n

Source: 1966-67 Germany R4 12.5 https://artofproblemsolving.com/community/c3208025_

October 13, 2024
number theorydiophantineDiophantine equation

Problem Statement

For each natural number nn, determine the number A(n)A(n) of all integer nonnegative solutions the equation 5x+2y+z=10n.5x + 2y + z = 10n.