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This is a continuation of my last note on polynomials as lists. Here, I'm going to talk about the concepts of generating functions and combinatorial species, which extend the ideas …

Niko claims, For some $d$, let $A$ be the set of nonnegative integers at less than $4000^d$ so that their base-$4000$ expansion has no digit $3999$. For every set of …

After writing a solution to this problem I focused on product of digits and got the following result. Also I have a challenge also for all those who found this …

These days, people from all over the world learn how to live with the covid-19 as part of our life. In my country we are back to school but need …

Predicting the number of primes less than $n$ is a contentious mathematical subject. Here are some of my thoughts, from messing around with factorials and the natural log. Note that …

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