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A189121 The constant for the smallest n X n associative magic square which consists of Smith numbers. 1
822, 14560, 12170, 14280, 64288 (list; graph; refs; listen; history; text; internal format)
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)

N. 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 * A326817 A271044 A252539

Adjacent sequences:  A189118 A189119 A189120 * A189122 A189123 A189124

KEYWORD

nonn,more,base

AUTHOR

Natalia Makarova, Apr 17 2011

STATUS

approved

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Last modified August 9 02:14 EDT 2020. Contains 336310 sequences. (Running on oeis4.)