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 A170928 Least magic constant of magic squares using Smith numbers. 2
 822, 1195, 1636, 2472, 3720, 5856, 8737, 12202, 16335, 21333, 27612, 35185, 43968, 54013, 65464, 78281, 92422, 107932, 126404, 147816, 171556, 197041, 224506, 253587, 285314, 320620, 359151, 400064, 442886, 487920, 536844, 589129, 644797 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS a(n) >= (\sum_{i=1}^{n^2} A006753(i)) / n. LINKS N. Makarova, Construction of smallest magic squares from Smith numbers (in Russian) EXAMPLE Magic square of order 3: see the book: M. Gardner. From the Penrose tilings to securely encrypted, 1993: 94 382 346 526 274 22 202 166 454 The magic constant S = 822 Orders 4 to 6 are from participants of scientific forum dxdy.ru The square of order 4: 22 346 562 265 778 274 85 58 4 454 382 355 391 121 166 517 S = 1195 The square of order 5: 355 576 4 319 382 454 85 391 648 58 27 535 346 526 202 706 166 378 121 265 94 274 517 22 729 S = 1636 The square of order 6: 729 4 636 762 22 319 27 663 654 526 85 517 391 645 58 378 438 562 382 346 454 121 634 535 355 648 94 483 627 265 588 166 576 202 666 274 CROSSREFS Sequence in context: A002140 A095965 A059002 * A103764 A189121 A271044 Adjacent sequences:  A170925 A170926 A170927 * A170929 A170930 A170931 KEYWORD nonn AUTHOR Stefano Tognon, Feb 04 2010 EXTENSIONS a(7), a(9) added by Natalia Makarova, Apr 02 2010 Edited by Max Alekseyev, May 26 2012 STATUS approved

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