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

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

Offset

1,1

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

Table of n, a(n) for n=1..9.

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

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

Cf. A000290, A221669.

Sequence in context: A222419 A252603 A335305 * A145717 A184405 A134120

Adjacent sequences: A267115 A267116 A267117 * A267119 A267120 A267121

Keyword

nonn,fini,full,tabf

Author

Arkadiusz Wesolowski, Jan 11 2016

Status

approved