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A126650 A 9 x 9 magic square. 5

%I #10 Jul 12 2018 11:41:43

%S 71,1,51,32,50,2,80,3,79,21,41,61,56,26,13,69,25,57,31,81,11,20,62,65,

%T 17,63,19,34,40,60,43,28,64,18,55,27,48,42,22,54,39,75,7,10,72,33,53,

%U 15,68,16,44,58,77,5,49,29,67,14,66,24,38,59,23,76,4,70,73,8,37,36,30,35,6,78,12,9,74,45,46,47,52

%N A 9 x 9 magic square.

%C The magic sum is 369. See Figure C.4 in Appendix C in Maya Ahmed's PhD thesis.

%H Maya Mohsin Ahmed, <a href="https://arxiv.org/abs/math/0405476">Algebraic Combinatorics of Magic Squares</a>, arXiv:math/0405476 [math.CO], 2004. PhD thesis.

%H Maya Mohsin Ahmed, <a href="https://www.jstor.org/stable/4145267">How many squares are there, Mr. Franklin?: Constructing and Enumerating Franklin Squares</a>, Amer. Math. Monthly, Vol. 111, 2004, pp. 394-410.

%e The magic square is:

%e 71 1 51 32 50 2 80 3 79

%e 21 41 61 56 26 13 69 25 57

%e 31 81 11 20 62 65 17 63 19

%e 34 40 60 43 28 64 18 55 27

%e 48 42 22 54 39 75 7 10 72

%e 33 53 15 68 16 44 58 77 5

%e 49 29 67 14 66 24 38 59 23

%e 76 4 70 73 8 37 36 30 35

%e 6 78 12 9 74 45 46 47 52

%K fini,full,nonn,tabf

%O 1,1

%A _Parthasarathy Nambi_, Feb 08 2007

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Last modified September 1 18:57 EDT 2024. Contains 375594 sequences. (Running on oeis4.)