cp's OEIS Frontend

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

%I A267118 #18 Jan 24 2016 16:35:02
%S A267118 16129,2116,3364,4,12769,8836,5476,6724,9409
%N A267118 Lee Sallows's 3 X 3 semimagic square of squares, read by rows.
%C A267118 Three rows, three columns and one diagonal sum to the same number: 21609 = 147^2.
%C A267118 See the link to mersenneforum.org about triangular numbers that form such semimagic squares.
%H A267118 Christian Boyer, <a href="http://www.multimagie.com/English/SquaresOfSquares.htm">Magic squares of squares</a>
%H A267118 mersenneforum.org, discussion titled <a href="http://mersenneforum.org/showthread.php?t=20776">A special semimagic square</a>
%H A267118 Carlos Rivera, <a href="http://www.primepuzzles.net/problems/prob_063.htm">Problem 63</a>
%H A267118 Lee Sallows, <a href="http://www.multimagie.com/Sallows.pdf">The lost theorem</a>, The Mathematical Intelligencer, 19:4 (1997), pp. 51-54.
%H A267118 <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%e A267118 The semimagic square is
%e A267118 |-----|-----|-----|
%e A267118 |16129| 2116| 3364|
%e A267118 |-----|-----|-----|
%e A267118 |  4  |12769| 8836|
%e A267118 |-----|-----|-----|
%e A267118 | 5476| 6724| 9409|
%e A267118 |-----|-----|-----|
%e A267118 It is:
%e A267118 |-----|-----|-----|
%e A267118 |127^2| 46^2| 58^2|
%e A267118 |-----|-----|-----|
%e A267118 | 2^2 |113^2| 94^2|
%e A267118 |-----|-----|-----|
%e A267118 | 74^2| 82^2| 97^2|
%e A267118 |-----|-----|-----|
%Y A267118 Cf. A000290, A221669.
%K A267118 nonn,fini,full,tabf
%O A267118 1,1
%A A267118 _Arkadiusz Wesolowski_, Jan 11 2016