On certain combinatorial identities
نویسندگان
چکیده
We study combinatorial identities associated with the normalized binomial mid-coefficients and self-conjugate permutations.
منابع مشابه
On Chebyshev’s Polynomials and Certain Combinatorial Identities
Let Tn(x) and Un(x) be the Chebyshev’s polynomial of the first kind and second kind of degree n, respectively. For n ≥ 1, U2n−1(x) = 2Tn(x)Un−1(x) and U2n(x) = (−1)An(x)An(−x), whereAn(x) = 2n ∏n i=1(x− cos iθ), θ = 2π/(2n + 1). In this paper, we will study the polynomial An(x). Let An(x) = ∑n m=0 an,mx m. We prove that an,m = (−1)k2m ( l k ) , where k = bn−m 2 c and l = b 2 c. We also complete...
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ژورنال
عنوان ژورنال: Journal de Ciencia e Ingenieria
سال: 2022
ISSN: ['2145-2628', '2539-066X']
DOI: https://doi.org/10.46571/jci.2022.1.4