A033812 - OEIS

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

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

OFFSET

1,1

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

LINKS

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

Harvey Heinz, Prime Magic Squares

Index entries for sequences related to magic squares

EXAMPLE

The magic square is

[ 8 1 6 ]

[ 3 5 7 ]

[ 4 9 2 ]

CROSSREFS

Cf. A126709.

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

Sequence in context: A363923 A176456 A351211 * A019717 A007404 A299627

Adjacent sequences: A033809 A033810 A033811 * A033813 A033814 A033815

KEYWORD

easy,fini,nonn,full,tabf

AUTHOR

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

EXTENSIONS

Edited by M. F. Hasler, Jan 26 2019

STATUS

approved

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