A126653 A 3 X 3 magic square with magic sum 45: the Loh-Shu square A033812 multiplied by 3.

24, 3, 18, 9, 15, 21, 12, 27, 6

Offset

1,1

Comments

The magic sum is 45. See Figure C.6 in Appendix C in Maya Ahmed's PhD thesis.

Links

Table of n, a(n) for n=1..9.

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.

Index entries for sequences related to magic squares

Formula

a(n) = 3*A033812(n). - M. F. Hasler, Jan 26 2019

Example

The magic square is:
24  3 18
9  15 21
12 27  6

Crossrefs

Cf. A126652 for 5*A033812.

Sequence in context: A202397 A040566 A070707 * A040567 A317324 A040561

Adjacent sequences: A126650 A126651 A126652 * A126654 A126655 A126656

Keyword

fini,full,nonn,tabf

Author

Parthasarathy Nambi, Feb 08 2007

Extensions

Edited by M. F. Hasler, Jan 26 2019

Status

approved