A126709 - OEIS

A126709

The Loh-Shu 3 x 3 magic square, variant 2.

4, 9, 2, 3, 5, 7, 8, 1, 6

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The magic sum is 15. See Figure 1.2 on page 10 in Maya Ahmed's PhD thesis. This magic square is referred to Loh-Shu magic square and is attributed to the legendary Fu Xi (Fuh-Hi).

Sequence A033812 lists the same magic square with rows in reversed order, i.e., vertically flipped. - M. F. Hasler, Jan 26 2019

LINKS

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

Maya Mohsin Ahmed, Algebraic Combinatorics of Magic Squares, arXiv:math/0405476 [math.CO], 2004.

Alexander Poddiakov, Self-Similar Structures of Nontransitive Dice Sets: Examples of Nested "Rock-Paper-Scissors" Relations Based on Numbers from The Lo Shu Magic Square,

Index entries for sequences related to magic squares

EXAMPLE

The magic square is:

4 9 2

3 5 7

8 1 6

CROSSREFS

A033812 is the same magic square with rows listed in reverse order.

Other magic 3 X 3 squares: A126648, A126652, A126653, A126654.

Larger magic squares: A126647, A126649, A126651, A126650.

Sequence in context: A229553 A254061 A098174 * A125575 A254159 A199725

Adjacent sequences: A126706 A126707 A126708 * A126710 A126711 A126712

KEYWORD

fini,full,nonn,tabf

AUTHOR

Parthasarathy Nambi, Feb 12 2007

EXTENSIONS

Edited by M. F. Hasler, Jan 26 2019

STATUS

approved