A126650 A 9 x 9 magic square.

71, 1, 51, 32, 50, 2, 80, 3, 79, 21, 41, 61, 56, 26, 13, 69, 25, 57, 31, 81, 11, 20, 62, 65, 17, 63, 19, 34, 40, 60, 43, 28, 64, 18, 55, 27, 48, 42, 22, 54, 39, 75, 7, 10, 72, 33, 53, 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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..81.

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.

Example

The magic square is:
71  1 51 32 50  2 80  3 79
21 41 61 56 26 13 69 25 57
31 81 11 20 62 65 17 63 19
34 40 60 43 28 64 18 55 27
48 42 22 54 39 75  7 10 72
33 53 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

Crossrefs

Sequence in context: A186073 A087043 A126648 * A126651 A126649 A266548

Adjacent sequences: A126647 A126648 A126649 * A126651 A126652 A126653

Keyword

fini,full,nonn,tabf

Author

Parthasarathy Nambi, Feb 08 2007

Status

approved