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A210710
Minimal index of a Stanley antimagic square of order n consisting of distinct primes.
3
2, 16, 53, 150, 395, 774, 1597, 3036, 5837, 10080, 18191
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
dxdy Forum, Discussion at forum dxdy.ru (in Russian)
Carlos Rivera, Puzzle 681 Stanley Antimagic Squares, The Prime Puzzles and Problems Connection.
Richard P. Stanley, Enumerative Combinatorics, Vol. I, Exercises for Chapter 4, Exercise 53, p. 618.
EXAMPLE
For n=3 and d=53, we have the following square consisting of the primes:
3 11 17
5 13 19
23 31 37
Here 3+13+37 = 3+19+31 = 11+19+23 = 11+5+37 = 17+13+23 = 17+5+31 = 53.
CROSSREFS
Sequence in context: A006885 A220139 A027273 * A337529 A225051 A033431
KEYWORD
nonn,more
AUTHOR
Natalia Makarova, Jan 29 2013
EXTENSIONS
Edited by Max Alekseyev, Feb 07 2013
Offset changed to 1 by Jens Kruse Andersen, Mar 30 2013
a(7) to a(10) from Jens Kruse Andersen, Mar 30 2013
a(11) from Jens Kruse Andersen, added by Max Alekseyev, May 05 2013
STATUS
approved