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A381002 Gaston Tarry's 1905 trimagic square of order 128, read by rows.

%I A381002 #13 Feb 14 2025 08:10:50
%S A381002 16132,130,16381,127,16128,382,15873,387,13632,2750,13761,2627,13508,
%T A381002 2882,13373,3007,8452,7810,8701,7807,8448,8062,8193,8067,11072,5310,
%U A381002 11201,5187,10948,5442,10813,5567,10028,6314,10197,6231,9944,6486,9769,6571,13080,3222,13289
%N A381002 Gaston Tarry's 1905 trimagic square of order 128, read by rows.
%C A381002 This is the first known trimagic square. It contains all numbers from 1 to 16384. The magic sum is 1048640; when each number is squared, the magic sum is 11454294720; and when each number is cubed, the magic sum is 140754668748800.
%C A381002 Terms are taken from Christian Boyer's Multimagie website (see links).
%H A381002 Paolo Xausa, <a href="/A381002/b381002.txt">Table of n, a(n) for n = 1..16384</a>
%H A381002 Christian Boyer, <a href="http://www.multimagie.com/English/Trimagic128.htm">Trimagic square, 128th-order</a>.
%H A381002 Brady Haran and Matt Parker, <a href="https://www.youtube.com/watch?v=stpiBy6gWOA">A Magic Square Breakthrough</a>, YouTube Numberphile video, 2025.
%H A381002 <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%e A381002 The magic square is:
%e A381002   [16132   130 16381   127 16128 ... 11854  4301 12111  4148 12210]
%e A381002   [  128 16382   129 16131   388 ...  4402 12209  4147 12112  4302]
%e A381002   [16002   260 15999   509 16254 ... 12240  4431 11981  4530 11828]
%e A381002   [  510 16000   259 16001     2 ...  4276 11827  4529 11982  4432]
%e A381002   [  257 16003   512 15998   253 ...  4175 11984  4430 11825  4531]
%e A381002      ...   ...   ...   ...   ... ...   ...   ...   ...   ...   ...
%e A381002   [ 4642 11684  4831 11613  5086 ...  7496  9159  7237  9018  7356]
%e A381002   [ 4829 11615  4644 11682  4897 ...  7611  9020  7354  9157  7239]
%e A381002   [11681  4643 11616  4830 11357 ...  8903  7240  9158  7353  9019]
%e A381002   [ 4959 11485  5026 11300  4771 ...  7225  8890  7484  8775  7621]
%e A381002   [11299  5025 11486  4960 11743 ...  9029  7622  8776  7483  8889]
%Y A381002 Cf. A052458, A380966, A381001.
%K A381002 nonn,tabf,fini,full
%O A381002 1,1
%A A381002 _Paolo Xausa_, Feb 13 2025