Gilbreath permutation
A gilbreath permutation is a special way of arranging a set of numbers. Imagine you have a group of numbers, let's say 1, 2, 3, 4, and 5.
You pick the first number in the set, which is 1, and subtract it from the second number, which is 2. So, you get 2-1=1.
Then, you take that answer (1) and subtract it from the next number in the set, which is 3. So, you get 3-1=2.
Then, you take that answer (2) and subtract it from the next number in the set, which is 4. So, you get 4-2=2.
Finally, you take that answer (2) and subtract it from the last number in the set, which is 5. So, you get 5-2=3.
This gives you a new set of numbers: 1, 1, 2, 2, 3.
You can keep doing this pattern with different sets of numbers to get different gilbreath permutations.
Overall, a gilbreath permutation is just a special way of rearranging a set of numbers by subtracting each number from the one that follows it.
You pick the first number in the set, which is 1, and subtract it from the second number, which is 2. So, you get 2-1=1.
Then, you take that answer (1) and subtract it from the next number in the set, which is 3. So, you get 3-1=2.
Then, you take that answer (2) and subtract it from the next number in the set, which is 4. So, you get 4-2=2.
Finally, you take that answer (2) and subtract it from the last number in the set, which is 5. So, you get 5-2=3.
This gives you a new set of numbers: 1, 1, 2, 2, 3.
You can keep doing this pattern with different sets of numbers to get different gilbreath permutations.
Overall, a gilbreath permutation is just a special way of rearranging a set of numbers by subtracting each number from the one that follows it.