Additional context for the uninitiated: the series “The Melancholy of Haruhi Suzumiya” was aired out of sequence intentionally, which is to say that the episide order is not the chronological order of events. The show is a masterclass of storytelling, presenting just enough information for the viewer to follow the episode’s plot while leaving you constantly guessing and inferring information about the series as a whole, since you learn plot details at a different pace than the protagonist. The show never tells you the episode’s chronological place, but it can be determined through observation of details such as season, references to other events, etc.

The reason this discussion started is because people began recommending others to watch the series in chronological order, and other orders were also popularized. So Anon seems to have been seeking a method to list all possible orders as a logical conclusion of the practice.

Highly recommended for even non-anime fans, it’s a great sci-fi comedy/drama/mystery. I personally recommend the original airing order.