In case you wonder why it should matter, especially to a mathematician, it’s explained in the rest of my comment (so if you agree it matters, you can stop reading here).

I assume you’re familiar with the definition of gamma function, converging only where real component is above certain value, the rest being defined by expanding it to the left, using the formula gamma(z+1) = z× gamma(z).

Now imagine that when talking about it, one would say that using the the above formula “the function can be expanded to the whole of imaginary plane except non-positive integers”. Everyone will understand the statement, but strictly speaking it’s wrong, it should say “complex plane” as the term “imaginary” only covers the numbers located on the y axis. Just like “it’s” versus “its”, it’s a “minor” difference that in certain contexts won’t affect understanding even though it’s wrong / doesn’t make sense.

]]>D4(2) -> 2D4(2^2) -> 2A2(9) -> C3 -> A6 -> A1(8) -> B2(4)

make sense?

If it doesn’t…then what is the “periodic” nature of this table?

]]>I can send you the source file if you want to try tweaking it for larger sizes (though I think it will blow up pretty well).

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