Generating 4 x 4 magic squares

Inspired by Ramanujan, I am playing, experimenting, with 4 x 4 magic squares. I have ( independently ) found a way to generate them, infinite many of them if necessary. What's interesting about it is that theoretically the method should work for n x n magic squares.

15	0	9	8
5	5	4	18
5	13	10	4
7	14	9	2

15	10	10	7
6	13	5	18
4	13	11	14
17	6	16	3

16	106	160	79
156	85	6	114
1	88	182	90
188	82	13	78

Two follow-up projects come to mind. 1) A reading experiment. Since I discovered part about mathematics independently ( thanks to Ramanujan's 3 x 3 formula, of course ) reading about this topic in the literature should be quite different compared to reading about a subject you know nothing about, i.e. when the reading-protocol is 'discovery'. Anyway, that is the experiment. 2) A writing experiment. I'll try to write down the method I use with as much rigor as I possibly can. Will I be able to produce something readable? - Unfortunately I have more urgent tasks to handle.