Accidental Desultory Cogitations

 In OEIS sequence A393336 , the $n$-th term is the sum of positions of 1's minus sum of positions of 0's in the binary expansion of ...

I have recently written a Python function to compute binomial coefficients modulo m where m is a positive integer. It uses Lucas' theo...

 Pascal's triangle modulo $m$ can present interesting numerical structures. For instance, for $m=2$, the resulting triangle is the fract...

In this blogpost , I wrote about pandigital numbers (numbers in base n>1 that uses the numbers 0 to n-1 exactly once) that are also squar...

Theorem: For a positive integer n, the nearest integer not equal to n with the same Hamming weight as n is larger than n if and only if n is...

Today is February 29, 2024, a leap day. It occurs once during leap years once every 4 years when the year is divisible by 4, with some excep...

  I have recently uploaded a python module to pypi : graph-generators : Python functions to compute various classes of networkx graphs. Ava...

Let a pandigital number in base $n$ be defined as a number that uses the digits from $0$ to $n-1$ exactly once. See OEIS sequence A050278 f...

I was listening to some Mandarin Chinese songs and noticed that the song  "絲路" (Silk Road) by  梁靜茹 ( Fish Leong) and the song  陪我...

Today is π approximation day (also known as casual π day). I talked about this 2 years ago in this blog post . I first learned about the app...