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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) >= (1/n)*Sum_{i=1..n^2} A006753(i).
LINKS
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 A364538
KEYWORD
nonn,base
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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Last modified July 16 08:10 EDT 2024. Contains 374345 sequences. (Running on oeis4.)