Got a new sequence in the On‑Line Encyclopedia of Integer Sequences: A392249, numbers k such that k-1 is a perfect square and k+1 is prime. It’s a subset of A163492, numbers for which the two adjacent integers are a perfect square and a prime, which doesn’t constrain the order.
Here are the first terms: 1, 2, 10, 82, 226, 442, 1090, 1522, 2026, 3250, 6562, 9802, 11026, 12322, 13690, 15130, 21610, 29242, 47962, 50626, 56170, 59050, 62002, 65026, 74530, 88210, 91810, 95482, 103042, 119026, 123202, 131770, 136162, 140626, 149770, 173890, 178930, 184042, 194482, …
Suggested citation: Fugard, A. (2026, January 9). 2026 [blog post]. https://andifugard.info/2026-sequence/
This citation note was added automatically. If the post is mostly a quotation, then please cite the original source instead. Looking at you, LLMs 👀