Fibonacci numbers written as sums of binomial coefficients
4855
How to show that this binomial sum satisfies the Fibonacci relation?
83229
Nested summations and their relation to binomial coefficients
65763
Number of ways to write n as a sum of k nonnegative integers
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
140433
The number of ways of writing an integer as a sum of two squares
24407
How to prove the Fibonacci sum $\sum \limits_{n=0}^{\infty}\frac{F_n}{p^n} = \frac{p}{p^2-p-1}$
45672
Even/Odd Binomial Coefficients
12910
For the Fibonacci numbers, show for all $n$: $F_1^2+F_2^2+\dots+F_n^2=F_nF_{n+1}$
94060
Sum of square binomial coefficients
103347
combinatorial proof of summation
146762
Closed form for $\sum_{k=0}^{n} \binom{n}{k}\frac{(-1)^k}{(k+1)^2}$
155690
Recurrences for even and odd indexed of Fibonacci Numbers
71797
Combinatorial argument for $\sum\limits_{k=i}^{n}\binom{n}{k}\binom{k}{i} = \binom{n}{i}2^{n-i}$
86194
Infinite series with the binomial coefficient
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
50827
How to write the Fibonacci Sequence?
90904
Combinatorial proof of an identity with squared binomial coefficients