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Ulam-Warburton Automaton - Counting Cells with Quadratics

Published 29 Jan 2019 in math.CO | (1901.10565v2)

Abstract: This paper is about a sequence of quadratic functions that enumerate the total number of ON cells up to and including generation $n$ of the Ulam-Warburton cellular automaton, where $n$ has the form $n_m=m\cdot2k$

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