Complementary Equations
نویسنده
چکیده
Increasing sequences a() and b() that partition the sequence of positive integers are called complementary sequences, and equations that explicitly involve both a() and b() are called complementary equations. This article surveys several families of such equations, including b(n) = a(jn) ± r, b(n) = a(jn) + kn, b(n) = f(a(n)), and b(n) = a(b(n − 1)) + qn + r.
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