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
9
								2
	10
									3
		11
										4
			12
											5
				13
												6
					14
													7
						15
						16								8

15x15 symmetric magic square

218	187	156	125	94	63	32	1	210	179	148	117	86	55	24
9	203	172	141	110	79	48	17	211	195	164	133	102	71	40
25	219	188	157	126	95	64	33	2	196	180	149	118	87	56
41	10	204	173	142	111	80	49	18	212	181	165	134	103	72
57	26	220	189	158	127	96	65	34	3	197	166	150	119	88
73	42	11	205	174	143	112	81	50	19	213	182	151	135	104
89	58	27	221	190	159	128	97	66	35	4	198	167	136	120
105	74	43	12	206	175	144	113	82	51	20	214	183	152	121
106	90	59	28	222	191	160	129	98	67	36	5	199	168	137
122	91	75	44	13	207	176	145	114	83	52	21	215	184	153
138	107	76	60	29	223	192	161	130	99	68	37	6	200	169
154	123	92	61	45	14	208	177	146	115	84	53	22	216	185
170	139	108	77	46	30	224	193	162	131	100	69	38	7	201
186	155	124	93	62	31	15	209	178	147	116	85	54	23	217
202	171	140	109	78	47	16	225	194	163	132	101	70	39	8

You can use this method to construct magic squares of odd order from 3x3 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

15x15, Knight movement method.xls

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15x15 magic square