More Ancient Mathematics. Magic square. My teacher said we would be going over "ancient indian math" next class (monday). Now I don't know what it is, but he said it had to do with the Pell Equation (x-ny^2=1) and he mentioned that Pell didn't even create it (maybe THEY wanted to hide its origin). Then, as a complete COINCIDENCE, I stumbled on these magic square concepts, which are related to the Pell Equation somehow (saw on wikipedia, ask me monday how they actually are).
You have an nxn square, and fill the square in such a way with the values 1,2,…,n^2 such that each row and column and diagonal have the same sum. The universe named these Magic squares so they might mean something. Each n, here are the column numbers:
n
3 45 15 (3*5)
4 136 34 (2*17)
5 325 65 (5*13)
6 666 111 (3*37)
7 1225 175 (557)
8 2080 260 (225*13)
9 3321 369 (13*13)
10 5050 500 (3341)
11 7381 671 (11*61)
12 10440 870 (235*29)
13 14365 1105 (51317)
14 19306 1379 (7*197)
A mathematician that worked on the Pell equations also came up with another thing, a seperate fibonacci type guy.
f(0) = f(1) = f(2) = 1
f(n) = f(n-1) + f(n-3)
[fib is f(n) = f(n-1) + f(n-2), so this is a small modification]
But then look at our numbers for this sequence:
1, 1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, 1278, 1873, 2745, 4023, 5896, 8641, 12664, 18560, 27201, 39865, 58425,…
I don't want to get all nazi-ie because I actually think they were a Rothchild scheme, but this simple modification gives us 88, which in (>>5219) is related to the fibonacci sequence (55a+88b). 88 is also the 14th number in the sequence, so go at it nazi larpers.