Hello Again Zak (and others) I've received this (coming from rec.puzzles) from "The Qurqirish Dragon": I noticed one problem with the rule. Take the sequence starting with 2: 2, (+22) 24, (+47) 71, ? Is the next value 89 or 90? Both follow the given rule: 2, (+22) 24, (+47) 71, (+18) 89, (+91) 180, ... 2, (+22) 24, (+47) 71, (+19) 90, (+09) 99, (+91) 190, ... This problem will happen whenever a given addition works resulting in a number consisting of all 9s (except for the first digit, which must be less than 9). What do you think about this remark? Can such a pb arise in the "main" sequence (the one starting with "1")? Do I have to rewrite the rule saying something like: "Keep the sequence as low as possible" Best, É.