Generalisation of Binomial Theorem, Leibniz Formula and similar theorems
74885
How is Leibniz's rule for the derivative of a product related to the binomial formula?
86194
Infinite series with the binomial coefficient
121279
Proving an Combination formula $ \binom{n}{k} = \binom{n-1}{k}+\binom{n-1}{k-1}$
7003
Inductive proof of a formula for Fibonacci numbers
41354
Binomial-coefficients if, k, m, n natural numbers and k \leq n the result of
111779
Ordinary generating function for $\binom{3n}{n}$
39957
Product of binomial coefficient as a basis
54905
A classical inequality involving the central binomial coefficient
52557
Derivation of binomial coefficient in binomial theorem.
81729
Combinatorial proof of $\sum_{k=0}^{n}(-1)^{k}\binom{n}{k}(l-k)^n=n!$, using inclusion-exclusion
4201
Prove $\sum\binom{n}{k}2^k = 3^n$ using the binomial theorem
131326
How to find $\sum_{r\ge 0} \binom{n}{r}\binom{n-r}{r} 2^{n-2r}$?
110441
Closed form for a formula with a summation over $i\binom{n-i}{k-1}$, and combinatorial proof?
107071
Prove $\sum_{k= 0}^{n} k \binom{n}{k} = n \cdot 2^{n - 1}$ using the binomial theorem
61270
Binomial Theorem Sum
64328
How to prove that the Binet formula gives the terms of the Fibonacci Sequence?
15666
explanation for a combinatorial identity involving the binomial coefficient