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Solving $n!=x$ for $n$.

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#real-analysis #approximation #factorial #lambert-w
56
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Numerical Approximation - Finding roots

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#numerical-methods #factorial #numerical-calculus
98
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Show that the function is a bijection.

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#functions #factorial
1.1k
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Find all triplets $(a,b,p)$ for $a^{p} = b! + p$

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#number-theory #modular-arithmetic #contest-math #factorial
70
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How to calculate limit $\lim_{x\to\infty}\left(\lfloor x\rfloor+\frac{1}{2}\right)\ln x-\ln(\lfloor x\rfloor!)$

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#calculus #limits #factorial #ceiling-and-floor-functions
89
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What is $r-n+1$ equal to?

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#factorial
44
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approximation for 'balls in bins' problem with upper restriction.

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#discrete-mathematics #binomial-coefficients #factorial #approximation-theory #balls-in-bins
38
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Bounding super exponential functions with factorial functions

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#real-analysis #analysis #inequality #factorial
149
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Probability a factor is odd

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#probability #factorial #factoring #parity
38
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Prove $ \lim_{z \to \exp \left(\frac{2 \pi i p}{m !}\right)} \sum_{n = 0}^{\infty} {z}^{n !} = \infty$ (Whittaker-Watson)

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#limits #factorial
338
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Find the last two non-zero digits of $70!$

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#elementary-number-theory #factorial #chinese-remainder-theorem
133
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Difficulty transforming a product of factorials into a sum

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#algebra-precalculus #induction #factorial
116
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Combinatorial interpretations of $\frac{n^k}{n!}$ and $\frac{{k+n-1}\choose{k}}{n!}$

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#combinatorics #combinations #factorial #balls-in-bins
49
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Sum of Two Arguments in Bell Polynomials of Second Kind

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#combinatorics #polynomials #factorial #bell-numbers
137
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Is the sinc function related to the Gamma function?

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#trigonometry #special-functions #factorial #gamma-function #desmos

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