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Sum of squares of Binom(n,p) values

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#probability #summation #asymptotics #binomial-coefficients
137
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Summation of series with terms $U_n=\frac{1}{n^2-n+1} -\frac{1}{n^2+n+1}$

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#sequences-and-series #summation
305
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How to evaluate a sum which contains limit variables?

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#limits #summation #rationality-testing
96
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Arithmethic Progression problem!

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#sequences-and-series #summation
591
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New Year Maths 2015

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#combinatorics #summation #binomial-coefficients #recreational-mathematics #products
569
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How does $\sum_{k=0}^n (pe^t)^k{n\choose k}(1-p)^{n-k} = (pe^t+1-p)^n$?

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#probability-theory #summation
105
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Summation with Zeta function

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#summation #riemann-zeta
5.5k
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$n$ choose $k$ where $n$ is negative

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#combinatorics #number-theory #summation #binomial-coefficients
223
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Changing a product of sums to sum of products

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#summation #products
64
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Is there any general formula for $\sum_{i=0}^k {ai+b\choose i}$ for ${ai+b} \geq i$ and $a \in \mathbb Z$?

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#combinatorics #summation
78
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Evaluate the following infinite sum with parameter

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#integration #sequences-and-series #summation #improper-integrals #parametric
64
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Signal Averaging

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#summation #signal-processing #average
72
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A curious identity from repeated differences of integer powers

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#number-theory #elementary-number-theory #discrete-mathematics #summation
64
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Summing over multiple lines with }/+

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#summation #notation
72
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What is the sum of the given series?

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#sequences-and-series #summation #binomial-coefficients #binomial-theorem

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