A189121 - OEIS

%I #20 Jan 09 2021 02:53:12

%S 822,14560,12170,14280,64288

%N The constant for the smallest n X n associative magic square which consists of Smith numbers.

%C In the associative magic square the sums of every pair of elements which are center-symmetrical are equal. Associative squares exist for every magic square order.

%D Magic square of order 3: see the book: M. Gardner. From the Penrose tilings to securely encrypted, 1993.

%H Max Alekseyev, <a href="http://dxdy.ru/post342663.html#p342663">Discussion on the scientific forum</a> (in Russian)

%H Natalia Makorova, <a href="http://www.natalimak1.narod.ru/assnetr.htm">Author's webpage</a> (in Russian)

%e n = 6, S = 14280

%e   [ 2722 2326 1255 2965  958 4054

%e     2182  391 2902 3865 4306  634

%e     4198 2605 2839  166   58 4414

%e      346 4702 4594 1921 2155  562

%e     4126  454  895 1858 4369 2578

%e      706 3802 1795 3505 2434 2038 ]

%e .

%e n = 7, S = 64288

%e   [  346 18274  1219 10966  2182 16735 14566

%e    16474   121 13666  3946 16726 12442   913

%e     1282 17833  7762 15646  9274   706 11785

%e    18346  2839 14719  9184  3649 15529    22

%e     6583 17662  9094  2722 10606   535 17086

%e    17455  5926  1642 14422  4702 18247  1894

%e     3802  1633 16186  7402 17149    94 18022 ]

%Y Cf. A104170, A170928, A188537.

%K nonn,more,base

%O 3,1

%A _Natalia Makarova_, Apr 17 2011