A271580 Magic sums of 4 X 4 magic squares composed of squares.

2823, 3230, 4350, 4590, 6462, 7150, 7735, 7905, 8515, 9230, 9775, 9945, 10625, 11220, 11292, 11310, 11985, 12155, 12675, 12750, 12920, 13050, 13390, 13775, 14355, 14705, 14825, 15275, 15300, 15950, 16150, 16250, 16830, 17300, 17316, 17400, 18315, 18360

Offset

1,1

Comments

The magic sum of Allan W. Johnson, Jr.'s 4 X 4 magic square of squares (A359383) is 93025. - Robert C. Lyons, Dec 30 2022

The magic sum of Euler's magic square (A358445) is 8515. - Michel Marcus, Dec 30 2022

Links

Table of n, a(n) for n=1..38.

Paul Pierrat, François Thiriet and Paul Zimmermann, Magic square of squares

Index entries for sequences related to magic squares

Example

Square with magic constant a(1) = 2823:
  |----|----|----|----|
  | 3^2|  1 |38^2|37^2|
  |----|----|----|----|
  | 2^2|47^2|13^2|21^2|
  |----|----|----|----|
  |43^2|18^2|11^2|23^2|
  |----|----|----|----|
  |31^2|17^2|33^2|22^2|
  |----|----|----|----|
Square with magic constant a(2) = 3230:
  |----|----|----|----|
  |13^2|  1 |42^2|36^2|
  |----|----|----|----|
  | 6^2|48^2|19^2|23^2|
  |----|----|----|----|
  |44^2|22^2| 9^2|27^2|
  |----|----|----|----|
  |33^2|21^2|32^2|26^2|
  |----|----|----|----|

Crossrefs

Cf. A000290, A271579, A271711, A359383, A358445. Subsequence of A271581. Supersequence of A271582.

Sequence in context: A182151 A365023 A182085 * A237063 A251014 A205201

Adjacent sequences: A271577 A271578 A271579 * A271581 A271582 A271583

Keyword

nonn

Author

Arkadiusz Wesolowski, Apr 10 2016

Status

approved