Department of Mathematics
University of Evansville
1800 Lincoln Avenue
Evansville, IN 47722
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.
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.
Full version: pdf,
(Concerned with sequences
Received May 16 2006;
revised versions received July 26 2006; October 11 2006.
Published in Journal of Integer Sequences December 30 2006.
Journal of Integer Sequences home page