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5h
revised How many ways are there to color the $H$-shaped tree with $3$ colors such that each color is used exactly twice?
sanity check III
5h
comment How many ways are there to color the $H$-shaped tree with $3$ colors such that each color is used exactly twice?
Okay, done, thanks.
5h
answered How many ways are there to color the $H$-shaped tree with $3$ colors such that each color is used exactly twice?
2d
answered Closed form of a sum of binomial coefficients?
2d
answered Sum of products of binomial coefficients
2d
answered Prove $(1-x)^{2k+1} \sum\limits_{n\ge 0}\binom{n+k-1}{k}\binom{n+k}{k} x^n = {\sum\limits_{j\ge 0} \binom{k-1}{j-1}\binom{k+1}{j} x^j} $
Aug
26
answered Prove an equation about binomial coefficients
Aug
26
revised I want to prove this identity involving the binomial coefficients
poles
Aug
26
answered I want to prove this identity involving the binomial coefficients
Aug
25
revised Binomial Identity $\sum\binom{2n+1}{2k+1}\binom{m+k}{2n} = \binom{2m}{2n}$
deformation IV
Aug
25
revised Binomial Identity $\sum\binom{2n+1}{2k+1}\binom{m+k}{2n} = \binom{2m}{2n}$
deformation III
Aug
25
revised Binomial Identity $\sum\binom{2n+1}{2k+1}\binom{m+k}{2n} = \binom{2m}{2n}$
deformation
Aug
25
revised Binomial Identity $\sum\binom{2n+1}{2k+1}\binom{m+k}{2n} = \binom{2m}{2n}$
domain of analyticity
Aug
25
answered Binomial Identity $\sum\binom{2n+1}{2k+1}\binom{m+k}{2n} = \binom{2m}{2n}$
Aug
25
answered Prove that $\sum_{k=0}^{m}\binom{m}{k}\binom{n+k}{m}=\sum_{k=0}^{m}\binom{n}{k}\binom{m}{k}2^k$
Aug
25
revised Prove $\sum_n^{\infty} \prod_{k=0}^n \dfrac{1}{x+k} = e \sum_ n^{\infty} \dfrac{(-1)^n}{(x+n)n!}$
observation
Aug
24
answered Evaluate a sum with binomial coefficients
Aug
23
answered Sum of product of binomial coefficients $ = (-1)^n$
Aug
23
answered What is the function given by $\sum_{n=0}^\infty \binom{b+2n}{b+n} x^n$, where $b\ge 0$, $|x| <1$
Aug
23
revised Numbering edges of a cube from 1 to 12 such that sum of edges on any face is equal
timings