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%I #18 Jan 24 2016 16:35:02
%S 16129,2116,3364,4,12769,8836,5476,6724,9409
%N Lee Sallows's 3 X 3 semimagic square of squares, read by rows.
%C Three rows, three columns and one diagonal sum to the same number: 21609 = 147^2.
%C See the link to mersenneforum.org about triangular numbers that form such semimagic squares.
%H Christian Boyer, <a href="http://www.multimagie.com/English/SquaresOfSquares.htm">Magic squares of squares</a>
%H mersenneforum.org, discussion titled <a href="http://mersenneforum.org/showthread.php?t=20776">A special semimagic square</a>
%H Carlos Rivera, <a href="http://www.primepuzzles.net/problems/prob_063.htm">Problem 63</a>
%H Lee Sallows, <a href="http://www.multimagie.com/Sallows.pdf">The lost theorem</a>, The Mathematical Intelligencer, 19:4 (1997), pp. 51-54.
%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%e The semimagic square is
%e |-----|-----|-----|
%e |16129| 2116| 3364|
%e |-----|-----|-----|
%e | 4 |12769| 8836|
%e |-----|-----|-----|
%e | 5476| 6724| 9409|
%e |-----|-----|-----|
%e It is:
%e |-----|-----|-----|
%e |127^2| 46^2| 58^2|
%e |-----|-----|-----|
%e | 2^2 |113^2| 94^2|
%e |-----|-----|-----|
%e | 74^2| 82^2| 97^2|
%e |-----|-----|-----|
%Y Cf. A000290, A221669.
%K nonn,fini,full,tabf
%O 1,1
%A _Arkadiusz Wesolowski_, Jan 11 2016
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