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Greatest common divisior of $2^n$ and $\binom{2n}{n}$

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#number-theory #binomial-coefficients
62
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Calculation of coefficient of x

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#power-series #binomial-coefficients #multinomial-coefficients
59
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monotonicity of a function with integer numbers

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#analysis #binomial-coefficients #monotone-functions
71
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Is the following equation true?

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#number-theory #binomial-coefficients
268
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Does $\exists n \in \mathbb{Z}$ such that $2^n$ can start with $9786543120$?

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#number-theory #elementary-number-theory #binomial-coefficients #exponentiation #binomial-theorem
85
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Simpler formula for $\frac{(pn)!}{(p!)^k(p(n-k))!}$

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#summation #binomial-coefficients
250
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Coefficient of $x$ in a finite expansion

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#binomial-coefficients #binomial-theorem
69
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Calculating number of ways two persons can meet each other in one cell on a N x N board

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#combinatorics #binomial-coefficients
80
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Proving these binomial sums

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#proof-writing #binomial-coefficients #proof-explanation
178
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Oddly beautiful plot $x=\binom{x}{y}$

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#terminology #binomial-coefficients #graphing-functions #visualization #wolfram-alpha
436
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Asymptotic expansion of a sum containing binomial coefficients

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#asymptotics #binomial-coefficients #hypergeometric-function
222
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Summation of series involving binomial coefficients and polynomial of degree at most n-1

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#combinatorics #polynomials #summation #binomial-coefficients
1.7k
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Find the value of $\sum_{k=1}^{n}k\binom{n}{k}$?

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#sequences-and-series #combinatorics #discrete-mathematics #summation #binomial-coefficients
61
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Binom - Combinatorical/Algebraic Proof

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#combinatorics #binomial-coefficients
937
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Alternating sum of binomial coefficients identity

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#combinatorics #summation #binomial-coefficients #binomial-theorem

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