cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-7 of 7 results.

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

Original entry on oeis.org

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

Views

Author

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

Keywords

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

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

A126976 A 6 x 6 magic square read by rows.

Original entry on oeis.org

6, 32, 3, 34, 35, 1, 7, 11, 27, 28, 8, 30, 19, 14, 16, 15, 23, 24, 18, 20, 22, 21, 17, 13, 25, 29, 10, 9, 26, 12, 36, 5, 33, 4, 2, 31
Offset: 1

Views

Author

Parthasarathy Nambi, Mar 20 2007

Keywords

Comments

The magic sum is 111.

Examples

			The magic square is:
6 32 3 34 35 1
7 11 27 28 8 30
19 14 16 15 23 24
18 20 22 21 17 13
25 29 10 9 26 12
36 5 33 4 2 31

Links

Crossrefs

Cf. A126651, A126652, A126653, A126654, A126709, A126710, A125519, A125522, A126275, A126276.

A126977 A 3 x 3 multiplicative magic square read by rows.

Original entry on oeis.org

2, 9, 12, 36, 6, 1, 3, 4, 18
Offset: 1

Views

Author

Parthasarathy Nambi, Mar 20 2007

Keywords

Comments

The magic product is 216.

Examples

			The magic square is:
2 9 12
36 6 1
3 4 18

Links

Crossrefs

Cf. A126651, A126652, A126653, A126654, A126709, A126710, A125519, A125522, A126275, A126276.

A116198 A 3 x 3 magic square read by rows.

Original entry on oeis.org

7, 0, 5, 2, 4, 6, 3, 8, 1
Offset: 1

Views

Author

Parthasarathy Nambi, Apr 08 2007

Keywords

Comments

The magic sum is 12.

Examples

			The magic square is:
7 0 5
2 4 6
3 8 1

Links

Crossrefs

Cf. A126710, A126976, A126977, A126647, A126648, A126649, A126650, A126651, A126652, A126653, A126654, A126709.

A127907 A 5 x 5 magic square read by rows.

Original entry on oeis.org

17, 24, 1, 8, 15, 23, 5, 7, 14, 16, 4, 6, 13, 20, 22, 10, 12, 19, 21, 3, 11, 18, 25, 2, 9
Offset: 1

Views

Author

Parthasarathy Nambi, Apr 05 2007

Keywords

Comments

The magic sum is 65.

Examples

			The magic square is:
17 24 1 8 15
23 5 7 14 16
4 6 13 20 22
10 12 19 21 3
11 18 25 2 9

References

  • Wacław Sierpiński, Czym sie zajmuje teoria liczb. Warsaw: PW "Wiedza Powszechna", 1957, p. 17.

Links

Crossrefs

Cf. A126647, A126648, A126649, A126650, A126651, A126652, A126653, A126654, A126709, A126710, A126976, A126977.

A128883 A 4 X 4 magic square with sum 33 read by rows.

Original entry on oeis.org

1, 14, 14, 4, 11, 7, 6, 9, 8, 10, 10, 5, 13, 2, 3, 15
Offset: 1

Views

Author

Parthasarathy Nambi, Apr 18 2007

Keywords

Examples

			The magic square is:
1 14 14 4
11 7 6 9
8 10 10 5
13 2 3 15

Links

Crossrefs

Cf. A126710, A126976, A126977, A126647, A126648, A126649, A126650, A126651, A126652, A126653, A126654, A126709.

A384560 Number of uniform step magic squares of order 2*n+1.

Original entry on oeis.org

8, 1472, 25272, 3528, 713000, 2265408, 11776
Offset: 1

Views

Author

Michel Marcus, Jun 03 2025

Keywords

Links

Crossrefs

Cf. A217568, A126709.
Showing 1-7 of 7 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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