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A271580 Magic sums of 4 X 4 magic squares composed of squares.

%I A271580 #29 Feb 12 2024 08:39:25
%S A271580 2823,3230,4350,4590,6462,7150,7735,7905,8515,9230,9775,9945,10625,
%T A271580 11220,11292,11310,11985,12155,12675,12750,12920,13050,13390,13775,
%U A271580 14355,14705,14825,15275,15300,15950,16150,16250,16830,17300,17316,17400,18315,18360
%N A271580 Magic sums of 4 X 4 magic squares composed of squares.
%C A271580 The magic sum of Allan W. Johnson, Jr.'s 4 X 4 magic square of squares (A359383) is 93025. - _Robert C. Lyons_, Dec 30 2022
%C A271580 The magic sum of Euler's magic square (A358445) is 8515. - _Michel Marcus_, Dec 30 2022
%H A271580 Paul Pierrat, François Thiriet and Paul Zimmermann, <a href="https://web.archive.org/web/20210921105123/https://members.loria.fr/PZimmermann/papers/squares.pdf">Magic square of squares</a>
%H A271580 <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%e A271580 Square with magic constant a(1) = 2823:
%e A271580   |----|----|----|----|
%e A271580   | 3^2|  1 |38^2|37^2|
%e A271580   |----|----|----|----|
%e A271580   | 2^2|47^2|13^2|21^2|
%e A271580   |----|----|----|----|
%e A271580   |43^2|18^2|11^2|23^2|
%e A271580   |----|----|----|----|
%e A271580   |31^2|17^2|33^2|22^2|
%e A271580   |----|----|----|----|
%e A271580 Square with magic constant a(2) = 3230:
%e A271580   |----|----|----|----|
%e A271580   |13^2|  1 |42^2|36^2|
%e A271580   |----|----|----|----|
%e A271580   | 6^2|48^2|19^2|23^2|
%e A271580   |----|----|----|----|
%e A271580   |44^2|22^2| 9^2|27^2|
%e A271580   |----|----|----|----|
%e A271580   |33^2|21^2|32^2|26^2|
%e A271580   |----|----|----|----|
%Y A271580 Cf. A000290, A271579, A271711, A359383, A358445. Subsequence of A271581. Supersequence of A271582.
%K A271580 nonn
%O A271580 1,1
%A A271580 _Arkadiusz Wesolowski_, Apr 10 2016