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arxiv: 1009.5731 · v1 · pith:VAC2FQ5Onew · submitted 2010-09-29 · 🧮 math.CO · math.CA

An Explicit Solution to the Chessboard Pebbling Problem

classification 🧮 math.CO math.CA
keywords chessboardconsiderpebblingproblemanalyzedasymptoticchungconfigurations
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We consider the chessboard pebbling problem analyzed by Chung, Graham, Morrison and Odlyzko [3]. We study the number of reachable configurations $G(k)$ and a related double sequence $G(k,m)$. Exact expressions for these are derived, and we then consider various asymptotic limits.

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