Consider the triangular numbers and their forward differences: $$ T = 1, 3, 6, 10, 15, 21, ... \\ \Delta T = 1,2,3,4,5,6, ... $$ If we alter \$\Delta T\$ so that it begins with a different integer, we get a different, yet similar sequence (assuming that it begins with \$T'_1 = 1\$): $$ \Delta T' ...

I feel like we may have enough data on this site to meaningfully break programming languages into classes. What I mean by classes is akin to Go's ranking system: If a player can win 90% of even games against a 2 kyu player, the AGA believes he or she is 1.33 ranks higher, the EGF believes (s)he ...

Although there was a prime factors challenge posted ten years ago, it has tedious I/O and restricted time. In this challenge, your task is to write a program or function which takes an integer \$n \ge 2\$ as input, and returns its prime factors. Task: Input will consist of an integer, \$n \ge 2\$...

Your program must accept as input six numbers, which describe a triangle - for example, the inputs 80, 23, 45, 1, 76, -2 describe a triangle with vertices (80, 23), (45, 1), and (76, -2). Your task is to figure out whether the triangle's vertices are given in clockwise order. Assume that the inpu...

We had a prime factorization challenge a while ago, but that challenge is nearly six years old and barely meets our current requirements, so I believe it's time for a new one. Challenge Write a program or function that takes as input an integer greater than 1 and outputs or returns a list of it...

Pickleball Doubles Scoring Pickleball doubles is a game where only the serving side can score. The server calls the score as a triple of numbers, the serving side's score, the receiving side's score, and $1$ or $2$ to indicate whether the server is the first or second of their side to serve. If...