A081263
Number of distinct (modulo rotation and reflection) n X n associative panmagic squares.
Original entry on oeis.org
1, 0, 0, 0, 16, 0, 20190684
Offset: 1
- Gardner, M. "Magic Squares and Cubes." Ch. 17 in Time Travel and Other Mathematical Bewilderments. New York: W.H. Freeman, pp. 213-225, 1988.
A257316
Smallest magic constant of ultramagic squares of order n composed of distinct prime numbers.
Original entry on oeis.org
3505, 990, 4613, 2040
Offset: 5
a(6)=990 corresponds to the following ultramagic square found by _Max Alekseyev_:
103 59 163 233 139 293
229 257 307 131 13 53
283 17 67 173 181 269
61 149 157 263 313 47
277 317 199 23 73 101
37 191 97 167 271 227
a(7)=4613 corresponds to the following ultramagic square found by _Natalia Makarova_:
227 617 677 431 1217 1307 137
1259 827 1061 509 521 167 269
347 929 1187 17 557 719 857
89 479 29 659 1289 839 1229
461 599 761 1301 131 389 971
1049 1151 797 809 257 491 59
1181 11 101 887 641 701 1091
a(8)=2040 corresponds to the following ultramagic square found by _Natalia Makarova_:
241 199 409 467 47 79 359 239
421 137 7 53 487 179 317 439
31 281 347 353 227 277 127 397
449 197 109 379 491 337 11 67
443 499 173 19 131 401 313 61
113 383 233 283 157 163 229 479
71 193 331 23 457 503 373 89
271 151 431 463 43 101 311 269
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