OFFSET
0,2
COMMENTS
A nim-multiplication table (A051775) of size 2^2^n can be compressed to a matrix of size 2^n, using Walsh permutations. As the nim-multiplication tables are submatrices to the bigger ones, also the compressions are submatrices to the bigger ones, leading to this infinite array.
This array is closely related to the nim-multiplication table powers of 2 (A223541). Both arrays can be seen as different views of the same cubic binary tensor.
The diagonal is A001317 (Sierpinski triangle rows read like binary numbers).
LINKS
Tilman Piesk, First 128 rows of the matrix, flattened
Tilman Piesk, Elements of dual matrix (256 SVGs)
Tilman Piesk, Walsh permutation; nimber multiplication (Wikiversity)
Tilman Piesk, MATLAB functions cv2cm and cm2cv
PROG
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Tilman Piesk, Mar 21 2013
STATUS
approved