Binomial number
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Names in other languages
- Русскийбиномиальное число
- Englishbinomial number
- Españolnúmero binomial
- Françaisnombre binomial
- Portuguêsnúmero binomial
- Portuguêsnúmero binomial
- Українськабіномне число
- 中文等幂和差
Article bodies are English and are not machine-translated. A name in another language is not a translation of the article.
In mathematics, specifically in number theory, a binomial number is an integer which can be obtained by evaluating a homogeneous polynomial containing two terms. It is a generalization of a Cunningham number.
In mathematics, specifically in number theory, a binomial number is an integer which can be obtained by evaluating a homogeneous polynomial containing two terms. It is a generalization of a Cunningham number. U_n(a+b,ab) = \frac{a^n - b^n}{a-b}, and V_n(a+b,ab) = a^n \!+ b^n Binomial numbers are a generalization of Cunningham numbers, and it will be seen that the Cunningham numbers are binomial numbers where y = 1 . Other subsets of the binomial numbers are the Mersenne numbers and the repunits.
See also
Cunningham Project
External links
Binomial Number at MathWorld
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