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About: Coordination sequence     Goto   Sponge   NotDistinct   Permalink

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In crystallography and the theory of infinite vertex-transitive graphs, the coordination sequence of a vertex is an integer sequence that counts how many vertices are at each possible distance from . That is, it is a sequence As an example, in a square grid, for each positive integer , there are grid points that are steps away from the origin. Therefore, the coordination sequence of the square grid is the sequence in which, except for the initial value of one, each number is a multiple of four.