Matrices autosimilaires
Abstract
We describe a class of matrices whose determinants are trivial to compute. A nice example of such a matrix is given by considering the symmetric matrix with entries i+j choose i (mod 2) in 0,1, 0 <= i,j < n the binomial coefficients modulo 2 represented by 0,1. The determinant of the above matrix is then closely related to the Thue-Morse sequence counting digits modulo 2 of binary integers.
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