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pro vyhledávání: '"Frankson, Shakuan"'
Autor:
Frankson, Shakuan
The Riordan group is a set of infinite lower-triangular matrices defined by two generating functions, $g$ and $f$. The elements of the group are called Riordan arrays, denoted by $(g,f)$, and the $k$th column of a Riordan array is given by the functi
Externí odkaz:
http://arxiv.org/abs/2410.10709
Random walks are a series of up, down, and level steps that enumerate distinct paths from $(0,0)$ to $(2n,0)$, where $n$ is the semi-length of the path. We used these paths to analyze Catalan, Schr\"{o}der, and Motzkin number sequences through a comb
Externí odkaz:
http://arxiv.org/abs/1811.02708
Autor:
Frankson, Shakuan, Terry, Myka
By definition, a first return is the immediate moment that a path, using vectors in the Cartesian plane, touches the $x$-axis after leaving it previously from a given point; the initial point is often the origin. In this case, using certain diagonal
Externí odkaz:
http://arxiv.org/abs/1811.02707