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Jul 14, 2015 at 21:42 comment added Gerhard Paseman I found the Bennett and Potts reference online, and they have effectively answered 3) and 4), except for the enumeration bit. I still think this approach deserves further reflection, but I am not first on the scene. There are connections to Costas arrays and other combinatorics to. Also, I haven't verified my "payoff" yet, so I may have to retract. Gerhard "Will Make The Computer Count" Paseman, 2015.07.14
Jul 13, 2015 at 17:02 comment added Gerhard Paseman Indeed, Golomb and Taylor in dealing with a more specific construct (hexagonal arrays) have considered this bijection and related problems, and refer to an older paper. Although I would appreciate other references answering 3) or 4), I still hope for more attempts at enumeration. Gerhard "Just Asking For The World" Paseman, 2015.07.13
Jul 13, 2015 at 1:00 comment added Gerhard Paseman It seems that one reference is arxiv.org/abs/0911.2384 on Honeycomb arrays. I would appreciate learning more, as I think question 4) still has not been answered regarding enumeration. Gerhard "Still Learning This Internet Thing" Paseman, 2015.07.12
Jul 12, 2015 at 23:58 history answered Gerhard Paseman CC BY-SA 3.0