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 Mar 2 awarded Notable Question Dec 5 awarded Popular Question Apr 15 awarded Popular Question Oct 14 awarded Supporter Oct 14 comment Estimating a certain row of Pascal's triangle @Rasmus: That is indeed very rough. Since we know the row adds up to $2^n$, can we make a better estimate for every number at position $i$ from knowing what percentage (approximately) that number should be making of the total? Oct 14 comment Estimating a certain row of Pascal's triangle Well, considering that the answer to Stirling's formula is several 100-1000s digits long, it takes a few milliseconds to calculate. That's not the bottleneck though, it is the multiplication and division of such large numbers that are taking really long. Maybe there's some way to speed that up in the code? Oct 14 asked Estimating a certain row of Pascal's triangle Oct 14 comment How to solve an inequality containing the sum of factorials and powers Sorry, that formula was meant to be: $-a(x+k)^k + \sum\limits_{j=0}^{y}x^{j}\binom{k}{k-j} \leq 0$ Oct 14 comment How to solve an inequality containing the sum of factorials and powers By simple variable substitution I've managed to reduce the formula to the following: $-a(x+k)^k + \sum\limits_{j=0}^{y}x^{j}\bigl(\frac{k}{k-j}\bigr) \leq 0$. This seems right in the domain of root finding, I see. Oct 14 comment How to solve an inequality containing the sum of factorials and powers I've finally been able to get the book, Numerical Recipes, but since I'm new to the field, would you mind pointing me to the appropriate chapter for this kind of problem? Is it the chapter on root finding? Oct 13 awarded Editor Oct 13 revised How to solve an inequality containing the sum of factorials and powers added 40 characters in body Oct 13 asked How to solve an inequality containing the sum of factorials and powers Oct 13 awarded Scholar Oct 13 accepted How to simplify or calculate a formula with very big factorials Oct 13 awarded Student Oct 13 asked How to simplify or calculate a formula with very big factorials Oct 13 awarded Autobiographer