Knight movement method

Put number 1 in the middle of the top row. Put the numbers 2 up to n (= lenght of the square) each time (using a chess knight movement) 1 cell to the right and 2 cells down. Put number n+1 below number n. Put the numbers n+2 up to 2n each time 1 cell to the right and 2 cells down. Put number 2n+1 below number 2n. Etcetera ...

				1
6
					2
	7
						3
		8
							4
			9
			10					5

Symmetric 9x9 magic square

77	58	39	20	1	72	53	34	15
6	68	49	30	11	73	63	44	25
16	78	59	40	21	2	64	54	35
26	7	69	50	31	12	74	55	45
36	17	79	60	41	22	3	65	46
37	27	8	70	51	32	13	75	56
47	28	18	80	61	42	23	4	66
57	38	19	9	71	52	33	14	76
67	48	29	10	81	62	43	24	5

You can use this method to construct magic squares of odd order from 3x3 up to infinite and you get a symmetric (but not pan)magic square.

See 3x3, 5x5, 7x7, 9x9, 11x11, 13x13, 15x15, 17x17, 19x19, 21x21, 23x23, 25x25, 27x27, 29x29 and 31x31

9x9, Knight movement method.xls

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9x9 magic square