Office Applications and Entertainment, Magic Squares
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Attachment 16.1.1 |
About the Author
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Magic Constants and corresponding variable values {ai2}:
p |
q |
r |
s |
s1 |
a12 |
a22 |
a32 |
a42 |
a52 |
a62 |
a72 |
a82 |
a92 |
1 |
2 |
4 |
6 |
3249 |
2209 |
784 |
256 |
16 |
529 |
2704 |
1024 |
1936 |
289 |
1 |
2 |
3 |
7 |
3969 |
2809 |
676 |
484 |
4 |
1849 |
2116 |
1156 |
1444 |
1369 |
2 |
3 |
4 |
6 |
4225 |
1521 |
2304 |
400 |
0 |
625 |
3600 |
2704 |
1296 |
225 |
1 |
3 |
5 |
6 |
5041 |
2601 |
1764 |
676 |
324 |
361 |
4356 |
2116 |
2916 |
9 |
1 |
2 |
5 |
7 |
6241 |
4761 |
1156 |
324 |
36 |
729 |
5476 |
1444 |
4356 |
441 |
2 |
4 |
5 |
6 |
6561 |
1681 |
4096 |
784 |
256 |
529 |
5776 |
4624 |
1936 |
1 |
1 |
2 |
4 |
8 |
7225 |
5625 |
1024 |
576 |
0 |
2601 |
4624 |
1600 |
3600 |
2025 |
1 |
4 |
5 |
7 |
8281 |
3249 |
2916 |
2116 |
676 |
1521 |
6084 |
4356 |
3844 |
81 |
2 |
3 |
4 |
8 |
8649 |
4489 |
3136 |
1024 |
64 |
2809 |
5776 |
4096 |
2704 |
1849 |
1 |
3 |
6 |
7 |
9025 |
5625 |
2500 |
900 |
484 |
441 |
8100 |
2916 |
6084 |
25 |
3 |
4 |
5 |
7 |
9801 |
2401 |
6724 |
676 |
4 |
961 |
8836 |
7396 |
2116 |
289 |
1 |
3 |
5 |
8 |
9801 |
6241 |
2116 |
1444 |
196 |
2209 |
7396 |
3364 |
5476 |
961 |
2 |
4 |
6 |
7 |
11025 |
4225 |
5776 |
1024 |
400 |
625 |
10000 |
6400 |
4624 |
1 |
1 |
2 |
6 |
8 |
11025 |
9025 |
1600 |
400 |
64 |
961 |
10000 |
1936 |
8464 |
625 |
2 |
4 |
5 |
8 |
11881 |
4761 |
5184 |
1936 |
64 |
2601 |
9216 |
7056 |
4096 |
729 |
2 |
3 |
6 |
8 |
12769 |
7569 |
4624 |
576 |
16 |
1089 |
11664 |
5184 |
7056 |
529 |
2 |
5 |
6 |
7 |
12996 |
3136 |
7744 |
2116 |
1024 |
1156 |
10816 |
8836 |
4096 |
64 |
1 |
4 |
6 |
8 |
13689 |
6889 |
4096 |
2704 |
1024 |
1849 |
10816 |
5776 |
7744 |
169 |
3 |
5 |
6 |
7 |
14161 |
2601 |
10404 |
1156 |
324 |
841 |
12996 |
11236 |
2916 |
9 |
1 |
3 |
7 |
8 |
15129 |
10609 |
3364 |
1156 |
676 |
529 |
13924 |
3844 |
11236 |
49 |
3 |
4 |
6 |
8 |
15625 |
5625 |
9216 |
784 |
0 |
1225 |
14400 |
10000 |
5184 |
441 |
1 |
5 |
6 |
8 |
15876 |
5476 |
5776 |
4624 |
1936 |
2704 |
11236 |
8464 |
7396 |
16 |
2 |
5 |
6 |
8 |
16641 |
5041 |
8464 |
3136 |
784 |
2401 |
13456 |
10816 |
5776 |
49 |
1 |
4 |
7 |
8 |
16900 |
9216 |
5184 |
2500 |
1600 |
900 |
14400 |
6084 |
10816 |
0 |
2 |
4 |
7 |
8 |
17689 |
8649 |
7744 |
1296 |
576 |
729 |
16384 |
8464 |
9216 |
9 |
1 |
5 |
7 |
8 |
19321 |
7569 |
7396 |
4356 |
2916 |
1521 |
14884 |
8836 |
10404 |
81 |
4 |
5 |
6 |
8 |
19881 |
3481 |
15376 |
1024 |
16 |
1369 |
18496 |
16384 |
3136 |
361 |
2 |
5 |
7 |
8 |
20164 |
7056 |
10404 |
2704 |
1444 |
1296 |
17424 |
11664 |
8464 |
36 |
3 |
5 |
7 |
8 |
21609 |
6241 |
13924 |
1444 |
484 |
961 |
20164 |
14884 |
6724 |
1 |
2 |
6 |
7 |
8 |
23409 |
5329 |
13456 |
4624 |
2704 |
2209 |
18496 |
15376 |
7744 |
289 |
3 |
6 |
7 |
8 |
24964 |
4624 |
17424 |
2916 |
1296 |
1764 |
21904 |
19044 |
5776 |
144 |
4 |
6 |
7 |
8 |
27225 |
3721 |
21904 |
1600 |
400 |
1225 |
25600 |
23104 |
4096 |
25 |