V. Reinhart wrote on Mon, Apr 10, 2017 09:44 PM UTC:
I've heard of some of those sequences, but not all of them. I had to look up the pancake numbers.
For example, for 4 pancakes, there's 3 ways it might be in an unorganized stack so that it requries 4 flips with a spatula to organize it (from large to small), 11 that require 3, 6 for 2, 3 for 1, and 1 for 0. So a 4 pancake stack gives a pancake sequence of 3, 11, 6, 3, and 1. (Or 1, 3, 6, 11, 3 in reverse order).
But I don't understand the pancake sequence that you showed. It's not a sequence for any stack of pancakes. Am I not on the right path to what a pancake sequence is? Were some pancakes burned and thrown away? Let me know!
I've heard of some of those sequences, but not all of them. I had to look up the pancake numbers.
For example, for 4 pancakes, there's 3 ways it might be in an unorganized stack so that it requries 4 flips with a spatula to organize it (from large to small), 11 that require 3, 6 for 2, 3 for 1, and 1 for 0. So a 4 pancake stack gives a pancake sequence of 3, 11, 6, 3, and 1. (Or 1, 3, 6, 11, 3 in reverse order).
But I don't understand the pancake sequence that you showed. It's not a sequence for any stack of pancakes. Am I not on the right path to what a pancake sequence is? Were some pancakes burned and thrown away? Let me know!