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A 7 X 7 magic square made from the first 49 triangular numbers, read by rows.
2

%I #9 Apr 14 2015 11:09:41

%S 0,378,1176,210,595,6,435,3,351,45,465,703,1128,105,946,171,561,820,

%T 190,21,91,741,528,36,325,120,15,1035,1081,300,55,496,780,10,78,28,

%U 666,66,231,276,630,903,1,406,861,253,136,990,153

%N A 7 X 7 magic square made from the first 49 triangular numbers, read by rows.

%C Magic square with consecutive triangular numbers from 0 to 1176.

%C The magic sum is 2800.

%H Christian Boyer, <a href="http://www.multimagie.com/SmallestTriangularExpanded.pdf">Magic square of the first triangular numbers</a>.

%e Here is the magic square:

%e ...0 .378 1176 .210 .595 ...6 .435

%e ...3 .351 ..45 .465 .703 1128 .105

%e .946 .171 .561 .820 .190 ..21 ..91

%e .741 .528 ..36 .325 .120 ..15 1035

%e 1081 .300 ..55 .496 .780 ..10 ..78

%e ..28 .666 ..66 .231 .276 .630 .903

%e ...1 .406 .861 .253 .136 .990 .153

%Y Cf. A000217, A132362, A256627.

%K fini,full,nonn,tabf

%O 1,2

%A _Parthasarathy Nambi_, Nov 15 2007