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math.CO2014
There are no Coincidences
Tanya Khovanova
This paper is inspired by a seqfan post by Jeremy Gardiner. The post listed nine sequences with similar parities. In this paper I prove that the similarities are not a coincidence…
math.CO2014
Nim Fractals
Tanya Khovanova, Joshua Xiong
We enumerate P-positions in the game of Nim in two different ways. In one series of sequences we enumerate them by the maximum number of counters in a pile. In another series of se…