A267118 Lee Sallows's 3 X 3 semimagic square of squares, read by rows.

16129, 2116, 3364, 4, 12769, 8836, 5476, 6724, 9409

Offset: 1

Author

Arkadiusz Wesolowski, Jan 11 2016

Keywords

• nonn
• fini
• full
• tabf

Comments

Three rows, three columns and one diagonal sum to the same number: 21609 = 147^2.

See the link to mersenneforum.org about triangular numbers that form such semimagic squares.

Examples

			The semimagic square is
|-----|-----|-----|
|16129| 2116| 3364|
|-----|-----|-----|
|  4  |12769| 8836|
|-----|-----|-----|
| 5476| 6724| 9409|
|-----|-----|-----|
It is:
|-----|-----|-----|
|127^2| 46^2| 58^2|
|-----|-----|-----|
| 2^2 |113^2| 94^2|
|-----|-----|-----|
| 74^2| 82^2| 97^2|
|-----|-----|-----|
		

Links

• Christian Boyer, Magic squares of squares
• mersenneforum.org, discussion titled A special semimagic square
• Carlos Rivera, Problem 63
• Lee Sallows, The lost theorem, The Mathematical Intelligencer, 19:4 (1997), pp. 51-54.
• Index entries for sequences related to magic squares

Crossrefs

Cf. A000290, A221669.