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

1,1

Comments

The magic sum is 93025.

References

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

Links

Table of n, a(n) for n=1..16.

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.

Example

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 ]

Crossrefs

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

Sequence in context: A283953 A262847 A356694 * A374245 A093230 A093798

Adjacent sequences: A359380 A359381 A359382 * A359384 A359385 A359386

Keyword

nonn,fini,full

Author

Robert C. Lyons, Dec 28 2022

Status

approved