Tom talks Hercules and the Hydra Game. A single branch length 5, each time you chop off the right-most head, n grow back from the grand-parent (where n is the step number you are currently at). Q: How many steps to kill the Hydra? A: We have no idea…
TOM ROCKS MATHS 
Hey Tom,
I tried to reproduce your number for y = 4 by Matt Parker method (inefficient Python script), but I don’t reach the same values.
What head do you consider the “rightmost”?
For example: after step 14 I again have a hydra of length 3 [1, 1, 1, 1]. Cutting of the outmost head, yields [1, 1, 16] in step 15, [1, 17, 15] in step 16, …, [1, 15, 15] in step 18. Which one is now the rightmost head?
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