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
12
											2
	13
												3
		14
													4
			15
														5
				16
															6
					17
																7
						18
																	8
							19
																		9
								20
																			10
									21
									22											11

Symmetric 21x21 magic square

431	388	345	302	259	216	173	130	87	44	1	420	377	334	291	248	205	162	119	76	33
12	410	367	324	281	238	195	152	109	66	23	421	399	356	313	270	227	184	141	98	55
34	432	389	346	303	260	217	174	131	88	45	2	400	378	335	292	249	206	163	120	77
56	13	411	368	325	282	239	196	153	110	67	24	422	379	357	314	271	228	185	142	99
78	35	433	390	347	304	261	218	175	132	89	46	3	401	358	336	293	250	207	164	121
100	57	14	412	369	326	283	240	197	154	111	68	25	423	380	337	315	272	229	186	143
122	79	36	434	391	348	305	262	219	176	133	90	47	4	402	359	316	294	251	208	165
144	101	58	15	413	370	327	284	241	198	155	112	69	26	424	381	338	295	273	230	187
166	123	80	37	435	392	349	306	263	220	177	134	91	48	5	403	360	317	274	252	209
188	145	102	59	16	414	371	328	285	242	199	156	113	70	27	425	382	339	296	253	231
210	167	124	81	38	436	393	350	307	264	221	178	135	92	49	6	404	361	318	275	232
211	189	146	103	60	17	415	372	329	286	243	200	157	114	71	28	426	383	340	297	254
233	190	168	125	82	39	437	394	351	308	265	222	179	136	93	50	7	405	362	319	276
255	212	169	147	104	61	18	416	373	330	287	244	201	158	115	72	29	427	384	341	298
277	234	191	148	126	83	40	438	395	352	309	266	223	180	137	94	51	8	406	363	320
299	256	213	170	127	105	62	19	417	374	331	288	245	202	159	116	73	30	428	385	342
321	278	235	192	149	106	84	41	439	396	353	310	267	224	181	138	95	52	9	407	364
343	300	257	214	171	128	85	63	20	418	375	332	289	246	203	160	117	74	31	429	386
365	322	279	236	193	150	107	64	42	440	397	354	311	268	225	182	139	96	53	10	408
387	344	301	258	215	172	129	86	43	21	419	376	333	290	247	204	161	118	75	32	430
409	366	323	280	237	194	151	108	65	22	441	398	355	312	269	226	183	140	97	54	11

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

21x21, Knight movement method.xls

Microsoft Excel werkblad 29.0 KB

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21x21 magic square