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Integer Sequences to Represent Natural
Numbers in Magic Squares
It's my delight to share
with you my discovery that magic squares can be generated from
solutions to n-queens problem (see also EightQueens.htm).
Following are the two integer sequences that represent the only unique
solution out of possible two distinct solutions for 4-queens problem.
The 4x4 magic square is easily generated from the solutions to the
4-queens
problem. If you see an error in this list, please let me know. Paul
| Sol |
Sequence |
Sum
|
| Q1 |
2,8,9,15
|
34 |
| Q2 |
3,5,12,14
|
34 |
| M3 |
1,8,12,13
|
34 |
| M4 |
3,6,10,15
|
34 |
| M5 |
2,7,11,14
|
34 |
| M6 |
4,5,9,16
|
34 |
| M7 |
2,3,13,16
|
34 |
| M8 |
5,8,10,11
|
34 |
| M9 |
6,7,9,12
|
34 |
| M10 |
1,4,14,15
|
34 |
| M11 |
4,7,10,13 |
34 |
| M... |
etc.
|
34 |
Copyright © 1996-2004 Paul B.
Muljadi. All Rights Reserved.
