A Generalization of the Digital Binomial Theorem
Hieu D. Nguyen
Department of Mathematics
Glassboro, NJ 08028
We prove a generalization of the digital binomial theorem by
constructing a one-parameter subgroup of generalized Sierpiński
matrices. In addition, we derive new formulas for the coefficients of
Prouhet-Thue-Morse polynomials and describe group relations satisfied
by generating matrices defined in terms of these Sierpiński matrices.
Full version: pdf,
(Concerned with sequence
Received February 1 2015; revised version received April 30 2015.
Published in Journal of Integer Sequences, May 26 2015.
Journal of Integer Sequences home page