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A126652
A 3 X 3 magic square with magic sum 75: the Loh-Shu square A033812 multiplied by 5.
9
40, 5, 30, 15, 25, 35, 20, 45, 10
OFFSET
1,1
COMMENTS
The magic sum is 75. See Figure C.6 in Appendix C in Maya Ahmed's PhD thesis.
LINKS
Maya Mohsin Ahmed, Algebraic Combinatorics of Magic Squares, arXiv:math/0405476 [math.CO], 2004. PhD thesis.
Maya Mohsin Ahmed, How many squares are there, Mr. Franklin?: Constructing and Enumerating Franklin Squares, Amer. Math. Monthly, Vol. 111, 2004, pp. 394-410.
FORMULA
a(n) = 5*A033812(n). - M. F. Hasler, Jan 26 2019
EXAMPLE
The magic square is:
40 5 30
15 25 35
20 45 10
CROSSREFS
Cf. A126653 = 3*A033812.
Sequence in context: A329337 A078084 A037937 * A181643 A117831 A152143
KEYWORD
fini,full,nonn,tabf
AUTHOR
Parthasarathy Nambi, Feb 08 2007
EXTENSIONS
Edited by M. F. Hasler, Jan 26 2019
STATUS
approved