New posts in binomial-coefficients

upper bounding alternating binomial sums

combinatorics inequality summation binomial-coefficients

Formula for $\sum_{k=0}^n k^d {n \choose 2k}$

summation binomial-coefficients

Is this an integer?

binomial-coefficients divisibility

Combinatorial Proof for $\sum_{k=0}^n \binom{2n}{2k}^2 = \frac{1}{2}\left( \binom{4n}{2n}+(-1)^n \binom{2n}{n} \right)$

combinatorics summation binomial-coefficients combinatorial-proofs

What is the sum $\sum_{k=0}^{n}k^2\binom{n}{k}$? [duplicate]

sequences-and-series binomial-coefficients

Moving bricks into piles

sequences-and-series binomial-coefficients recursion

A Ramanujan infinite series

sequences-and-series binomial-coefficients generating-functions

Derivation of bound on expression involving binomial coefficient from Erdős and Rényi 1959

inequality binomial-coefficients

Why does the Binomial Theorem use combinations and not permutations for its coefficients?

binomial-coefficients binomial-theorem binomial-distribution

Combinatorial Interpretation of Fractional Binomial Coefficients

combinatorics binomial-coefficients generating-functions catalan-numbers

binomial coefficient equal to sum

terminology binomial-coefficients

Computing the last non-zero digit of ${1027 \choose 41}$?

elementary-number-theory binomial-coefficients contest-math decimal-expansion

More elegant proofs of $\binom a2+\binom b2\leq \binom{a+b-1}2$

combinatorics inequality binomial-coefficients combinatorial-proofs extremal-combinatorics

Asymptotic difference between a function and its binomial average

real-analysis binomial-coefficients asymptotics average

How to simplify or calculate a formula with very big factorials

approximation binomial-coefficients big-numbers

Can this product be written so that symmetry is manifest?

combinatorics binomial-coefficients factorial

How to prove that $\sum_{k=0}^\infty \binom{x}{x-k}\cdot\binom{x}{k-x} = 1$?

sequences-and-series binomial-coefficients

How find all postive integer number such $(n+k)\nmid \binom{2n}{n}$

number-theory binomial-coefficients

Product of binomial coefficient as a basis

combinatorics vector-spaces binomial-coefficients

Identity involving double sum with factorials

summation binomial-coefficients factorial pochhammer-symbol