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A267118 Lee Sallows's 3 X 3 semimagic square of squares, read by rows. 2
16129, 2116, 3364, 4, 12769, 8836, 5476, 6724, 9409 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 29 17:41 EDT 2021. Contains 346346 sequences. (Running on oeis4.)