

A221669


3 x 3 magic square containing seven squares, read by rows.


5




OFFSET

1,1


COMMENTS

Apart from trivial modifications, this is the only known 3 x 3 magic square containing seven squares. No 3 x 3 magic square containing eight or nine squares is known.
The seven integer square roots are A221670.


LINKS

Table of n, a(n) for n=1..9.
A. Bremner, On squares of squares, Acta Arith. 88 (1999), 289297.
A. Bremner, On squares of squares. II, Acta Arith. 99 (2001), 289308.
John P. Robertson, Magic squares of squares, Math. Mag., 69 (1996), 289293.
Zentralblatt, Review of "On squares of squares. II" by A. Bremner
Index entries for sequences related to magic squares


FORMULA

a(1) = 139129 = 373^2, a(2) = 83521 = 289^2, a(3) = 319225 = 565^2, a(5) = 180625 = 425^2, a(6) = 529 = 23^2, a(7) = 42025 = 205^2, a(8) = 277729 = 527^2.


EXAMPLE

[139129 83521 319225
360721 180625 529
42025 277729 222121]


CROSSREFS

Cf. A221670, A319589.
Sequence in context: A250713 A236063 A234821 * A145207 A236745 A205213
Adjacent sequences: A221666 A221667 A221668 * A221670 A221671 A221672


KEYWORD

nonn,tabf,fini,full


AUTHOR

Jonathan Sondow, Jan 21 2013


STATUS

approved



