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A126650 A 9 x 9 magic square. 5
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

REFERENCES

M. Ahmed, "How many squares are there, Mr. Franklin?: Constructing and Enumerating Franklin Squares", Amer. Math. Monthly, Vol. 111, 2004, pp. 394-410.

LINKS

Maya Mohsin Ahmed, PhD thesis UC Davis, 2004, arXiv:math/0405476.

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 A051324

Adjacent sequences:  A126647 A126648 A126649 * A126651 A126652 A126653

KEYWORD

fini,full,nonn,tabf

AUTHOR

Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Feb 08 2007

EXTENSIONS

Replaced link to cached arXiv version by link to the abstract - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 01 2010

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.