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Closed form of $n!\sum_{k=3}^{n-1}{{n-2}\choose{k-1}}$

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#binomial-coefficients #factorial #closed-form
60.2k
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Which has a higher order of growth, n! or n^n?

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#exponential-function #factorial
259
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How does $\tbinom{4n}{2n}$ relate to $\tbinom{2n}{n}$?

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#combinatorics #recurrence-relations #factorial #recursive-algorithms
57
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Approximating the probability that a range bounds a given number, with very large numbers

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#combinatorics #approximation #factorial
262
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Limit of the sequence $\frac {a^n} {n!}$

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#calculus #sequences-and-series #limits #factorial
455
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Limit of $\frac {n^n}{n!}$

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#calculus #limits #exponentiation #exponential-function #factorial
4.4k
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Is the Ramanujan factorial approximation optimal, or can it be tweaked?

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#factorial #approximation-theory
6.6k
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The limit of $\sin(n!)$

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#real-analysis #limits #analysis #trigonometry #factorial
706
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Stirling approximation / Gamma function

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#sequences-and-series #complex-analysis #analysis #limits #factorial
209
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Trailing zeroes in factorials: are there any excluded values divisible by 5 other than $5$ and $30$?

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#algorithms #factorial #divisor-counting-function
236
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Falling factorial summands

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#combinatorics #factorial #binomial-theorem
109
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Which series of numbers effectively translates the factorial to the exponential function?

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#sequences-and-series #number-theory #asymptotics #exponential-function #factorial
494
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Evaluate a finite sum with four factorials

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#summation #binomial-coefficients #factorial
1.9k
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Digit in units place of $1!+2!+\cdots+99!$

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#algebra-precalculus #summation #factorial
276
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Study of the convergence of a sequence with repeated radicals

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#calculus #sequences-and-series #limits #factorial #nested-radicals

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