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A221669 3 x 3 magic square containing seven squares, read by rows. 5
139129, 83521, 319225, 360721, 180625, 529, 42025, 277729, 222121 (list; graph; refs; listen; history; text; internal format)
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), 289-297.

A. Bremner, On squares of squares. II, Acta Arith. 99 (2001), 289-308.

John P. Robertson, Magic squares of squares, Math. Mag., 69 (1996), 289-293.

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

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Last modified August 4 09:03 EDT 2020. Contains 336201 sequences. (Running on oeis4.)