5

Part of 1967 German National Olympiad

Problems(1)

5x + 2y + z = 10n

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

For each natural number

n

, determine the number

A(n)

of all integer nonnegative solutions the equation

5x + 2y + z = 10n.

number theorydiophantineDiophantine equation