Andrew R. Conn, Paula K. Coulman, et al.
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Paper
SUMS OF PRODUCTS OF BINOMIAL COEFFICIENTS MOD 2 AND RUN LENGTH TRANSFORMS OF SEQUENCES
Abstract
We study properties of functions of binomial coefficients mod 2 and derive a set of recurrence relations for sums of products of binomial coefficients mod 2. We show that they result in sequences that are the run length transforms of well known basic sequences. In particular, we obtain formulas for the run length transform of the positive integers, Fibonacci numbers, extended Lucas numbers and Narayana’s cows sequence.