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Decomposition of the Catalan number into the sum of squares
Gennady Eremin · 2020-09-12 · via math.CO updates on arXiv.org

Analysis of the dynamics of the Dyck words helped solve the problem of representing the Catalan number as a sum of squares of natural numbers. In this case, the Dyck triangle is considered in different coordinates. In the calculations, we use the Catalan convolution matrix.

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