OFFSET
1,1
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.
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.
EXAMPLE
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|
|-----|-----|-----|
CROSSREFS
KEYWORD
nonn,fini,full,tabf
AUTHOR
Arkadiusz Wesolowski, Jan 11 2016
STATUS
approved