The last two times you refer to the value of 2^16 above, you show it as 65,356 (which is clearly just a typo that slipped through). The correct value is of course 65,536, which you provided earlier.
Excellent article! Had never heard of Knuth's up-arrow notation until I came upon it during a video titled "What is the largest number?" (www.youtube.com/watch?v=e0xJwdcpATM)