Creative proofs in combinations

التفاصيل البيبلوغرافية
العنوان: Creative proofs in combinations
المؤلفون: Arab, Mohammad
سنة النشر: 2021
مصطلحات موضوعية: Mathematics - Combinatorics, 05A15, 05A20 (Primary) 05A10, 11B57, 11P81 (Secondary)
الوصف: In this article, we present four issues and provide a creative and concise proof for each of them. The four issues are: 1- Inequality $\frac{1}{\sqrt{n\pi+\frac{\pi}{2}}}<\frac{\binom{2n}{n}}{2^{2n}}<\frac{1}{\sqrt{n\pi}}$ 2- A special case of Jonathan Wilde's problem 3- Combination series 4- A feature of powerful numbers.
Comment: 15 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2112.08020
رقم الأكسشن: edsarx.2112.08020
قاعدة البيانات: arXiv