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  • $\begingroup$ This looks spectacular. How good tested is your conjecture? $\endgroup$ Commented Aug 9, 2017 at 20:20
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    $\begingroup$ I think it would be useful to add the code here as it is rather straightforward to see how this works. Should I add it? $\endgroup$ Commented Aug 9, 2017 at 20:33
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    $\begingroup$ It appears that Sergi Elizalde's cycle diagram makes at least the relation between $c_{a+b}\geq c_{a+b-1}$ and double deficiencies clear. I haven't translated the other condition yet, though. $\endgroup$ Commented Aug 9, 2017 at 22:56
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    $\begingroup$ @MartinRubey the condition $c_{a+b} \geq c_{a+b-1}$ alone also has an interesting interpretation. If I made no mistake it counts the algebras having the double centralizer protperty with respect to a minimal faithful projective-injective module. My conjecture is that the corresponding sequence is oeis.org/A005043 . $\endgroup$ Commented Aug 9, 2017 at 23:24
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    $\begingroup$ @Vincent: done, thanks for pinging! $\endgroup$ Commented Nov 26, 2019 at 7:26