A379179 The Anti-Parker Square, read by rows.

8288641, 16492609, 4515625, 5992609, 9765625, 13538641, 15015625, 3038641, 11242609

Offset: 1

Author

Paolo Xausa, Dec 17 2024

Keywords

• nonn
• tabf
• fini
• full

Comments

This square has been discovered by Ayliean MacDonald (see links) while attempting to create a magic square of squares.

It's an example of a 3 X 3 square where all rows, columns and diagonals sum to the same number (in this case 29296875), but only the entries in the diagonals are squares.

The Parker Square (A364264) was an attempt (which failed in a different way) to solve the same problem.

Examples

			The Anti-Parker Square is:
  [  8288641 16492609  4515625 ]
  [  5992609  9765625 13538641 ]
  [ 15015625  3038641 11242609 ]
Or equivalently:
  [  2879^2  16492609   2125^2 ]
  [ 5992609    3125^2 13538641 ]
  [  3875^2   3038641   3353^2 ]
		

Links

• Brady Haran and Ayliean MacDonald, The Anti-Parker Square, YouTube Numberphile video, 2024.
• Brady Haran and Matt Parker, The Parker Square, YouTube Numberphile video, 2016.

Crossrefs

Cf. A364264.