A359383 Allan W. Johnson, Jr.'s 4 X 4 magic square of squares.

900, 60516, 29584, 2025, 8649, 13456, 4356, 66564, 15876, 19044, 56169, 1936, 67600, 9, 2916, 22500

Offset: 1

Author

Robert C. Lyons, Dec 28 2022

Keywords

• nonn
• fini
• full

Comments

The magic sum is 93025.

Examples

			The magic square is:
 [   900 60516 29584  2025 ]
 [  8649 13456  4356 66564 ]
 [ 15876 19044 56169  1936 ]
 [ 67600     9  2916 22500 ]
Equivalently:
 [  30^2 246^2 172^2  45^2 ]
 [  93^2 116^2  66^2 258^2 ]
 [ 126^2 138^2 237^2  44^2 ]
 [ 260^2   3^2  54^2 150^2 ]
		

References

• Allan W. Johnson, Jr., A Square Magic Square, Journal of Recreational Mathematics, vol. 22:1, 1990, p. 38.

Links

• John D. Cook, Magic square of squares.
• Philippe Michaud-Rodgers, Magic Squares of Squares.
• Ivars Peterson, Magic Squares of Squares.
• Paul Pierrat, François Thiriet, and Paul Zimmermann, Magic Squares of Squares.

Crossrefs

Cf. A271580: magic sums of 4 X 4 magic squares composed of squares.