A033812 The Loh-Shu 3 X 3 magic square, lexicographically largest variant when read by columns.

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

Offset: 1

Author

Olivier Gorin (gorin(AT)roazhon.inra.fr)

Keywords

• easy
• fini
• nonn
• full
• tabf

Comments

Of course there are a large number of ways to convert this (unique) magic square to a sequence by reading it by rows, so the sequence is hardly unique. - N. J. A. Sloane, Aug 29 2002

This magic square is referred to Loh-Shu magic square and is attributed to the legendary Fu Xi (Fuh-Hi).

Among all the equivalent variants of this magic square (modulo rotations and reflections) this one can be characterized as the lexicographically largest one when read by columns, i.e., (8, 3, 4, 1, ...), while the lexicographically smallest one would be (2, 7, 6, 9, ...). - M. F. Hasler, Jan 26 2019

Examples

			The magic square is
[ 8 1 6 ]
[ 3 5 7 ]
[ 4 9 2 ]
		

Links

• Harvey Heinz, Prime Magic Squares
• Index entries for sequences related to magic squares

Crossrefs

Cf. A126709.

Sequences A126652 and adjacent list several multiples and other affine transforms of this one.

Extensions

Edited by M. F. Hasler, Jan 26 2019