Very nice puzzle!

]]>A -> 742 | 742B742 | 783A162

B -> 5 | 162B783 | 5A5

So the first few are:

742

7425742

783742162

74257425742

7421625783742

7837425742162

742574257425742

783783742162162

74216257425783742

74257837421625742

78374257425742162

I think I know a bit about algebraic conjugates but I didn’t understand what I found. How do you find the algebraic conjugates of a number? It seemed to me that the process was defined, not on a number itself, but only on the representation of the number in a certain form, and it gave you another representation.

]]>Are those (with 742) all the numbers in the sequence? I don’t know, but I’m guessing yes, since otherwise you probably wouldn’t have asked this question. ðŸ™‚

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