フェルマーの小定理を証明したかったつもりで考えたり調べたりしているうちに、表題の central factroal numbers という数にたどりついたので、メモ書きです。 出発点の動機 フェルマーの小定理は次のような主張です： $${p}$$ を素数とすると、任意の整数 $${n} ...

Eötvös Loránd University, Budapest, Hungary. Factorials have been known for thousands of years [1] [2]. They have been used in many fields of mathematics, including permutations, binomial coefficients ...

In this paper, we consider r-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these ...

The factorial of numbers greater than or equal to 13 cannot be found using the program shown on this page due to overflow. These factorials are too large to fit in an int variable. Even if we use the ...

Factorial calculators are essential tools that enable users to quickly and accurately compute the factorial of any given number. These calculators are highly valuable in various fields of mathematics ...

Abstract: Permutations are widely used in practice for solving problems of combinatorial optimization, noise-resistant coding, as well as in modern methods of protecting information as their ...