A189121 The constant for the smallest n X n associative magic square which consists of Smith numbers.

822, 14560, 12170, 14280, 64288

Offset

3,1

Comments

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.

References

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

Links

Table of n, a(n) for n=3..7.

Max Alekseyev, Discussion on the scientific forum (in Russian)

Natalia Makorova, Author's webpage (in Russian)

Example

n = 6, S = 14280
  [ 2722 2326 1255 2965  958 4054
    2182  391 2902 3865 4306  634
    4198 2605 2839  166   58 4414
     346 4702 4594 1921 2155  562
    4126  454  895 1858 4369 2578
     706 3802 1795 3505 2434 2038 ]
.
n = 7, S = 64288
  [  346 18274  1219 10966  2182 16735 14566
   16474   121 13666  3946 16726 12442   913
    1282 17833  7762 15646  9274   706 11785
   18346  2839 14719  9184  3649 15529    22
    6583 17662  9094  2722 10606   535 17086
   17455  5926  1642 14422  4702 18247  1894
    3802  1633 16186  7402 17149    94 18022 ]

Crossrefs

Cf. A104170, A170928, A188537.

Sequence in context: A059002 A170928 A103764 * A364538 A326817 A271044

Adjacent sequences: A189118 A189119 A189120 * A189122 A189123 A189124

Keyword

nonn,more,base

Author

Natalia Makarova, Apr 17 2011

Status

approved