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A new lower bound for the growth rate of Av(1324)

Norton, Charles C.
arXiv (All) · Papers
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05a15combinatorics
The growth rate of Av(1324) is the last unknown Stanley-Wilf limit of a length-four pattern. Since 2020 the best rigorous lower bound has been the 10.271012 of Bevan, Brignall, Elvey Price and Pantone; we raise it to 10.412263. Their construction lays 1324-avoiders along an infinite staircase of two
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