Area of Catalan paths on a checkerboard
نویسندگان
چکیده
It is known that the area of all Catalan paths of length n is equal to 4− ` 2n+1
منابع مشابه
An Area-to-Inv Bijection Between Dyck Paths and 312-avoiding Permutations
The symmetric q, t-Catalan polynomial Cn(q, t), which specializes to the Catalan polynomial Cn(q) when t = 1, was defined by Garsia and Haiman in 1994. In 2000, Garsia and Haglund proved the existence of statistics a(π) and b(π) on Dyck paths such that Cn(q, t) = P π qt where the sum is over all n × n Dyck paths. Specializing t = 1 gives Cn(q) = P π q and specializing q = 1 as well gives the us...
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 28 شماره
صفحات -
تاریخ انتشار 2007