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A225133 Minimal index of order n Stanley's antimagic square composed of Smith numbers. 0
4, 143, 669, 2088, 8318, 30885, 87643 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Stanley antimagic square of index d and order n is an n X n matrix where the sum of any n matrix elements in pairwise distinct rows and pairwise distinct columns equals d.

LINKS

Table of n, a(n) for n=1..7.

Antimagic squares (in Russian), discussion at dxdy.ru

Carlos Rivera Puzzle 681

EXAMPLE

Examples of order n Stanley's antimagic squares with minimal index S composed of Smith numbers:

.

n=2, S=143

22 58

85 121

.

For n=3, S=669 we have:

22 58 202

85 121 265

346 382 526

Here 22+121+526 = 22+265+382 = 58+265+346 = 58+85+526 = 202+121+346 = 202+85+382 = 669.

.

n=4, S=2088

85 94 121 517

346 355 382 778

526 535 562 958

654 663 690 1086

.

n=5, S=8318 (author V. Pavlovsky)

58 121 382 562 1111

202 265 526 706 1255

454 517 778 958 1507

1858 1921 2182 2362 2911

3802 3865 4126 4306 4855

.

n=6, S=30885

319 346 1642 1678 1966 3226

535 562 1858 1894 2182 3442

1255 1282 2578 2614 2902 4162

3595 3622 4918 4954 5242 6502

4279 4306 5602 5638 5926 7186

13639 13666 14962 14998 15286 16546

.

n=7, S=87643 (author J. K. Andersen)

454 634 1858 2614 4054 4414 16474

1642 1822 3046 3802 5242 5602 17662

2038 2218 3442 4198 5638 5998 18058

5674 5854 7078 7834 9274 9634 21694

5935 6115 7339 8095 9535 9895 21955

20362 20542 21766 22522 23962 24322 36382

24214 24394 25618 26374 27814 28174 40234

CROSSREFS

Cf. A006753, A210710.

Sequence in context: A299833 A231949 A239248 * A122422 A307703 A277948

Adjacent sequences: A225130 A225131 A225132 * A225134 A225135 A225136

KEYWORD

nonn,base,more

AUTHOR

Natalia Makarova, Apr 29 2013

STATUS

approved

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Last modified March 31 11:12 EDT 2023. Contains 361646 sequences. (Running on oeis4.)