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Triangular array T(n, k) = n^2 - k^2, read by rows.
0

%I #14 Aug 13 2020 22:43:35

%S 0,1,0,4,3,0,9,8,5,0,16,15,12,7,0,25,24,21,16,9,0,36,35,32,27,20,11,0,

%T 49,48,45,40,33,24,13,0,64,63,60,55,48,39,28,15,0,81,80,77,72,65,56,

%U 45,32,17,0,100,99,96,91,84,75,64,51,36,19,0,121,120,117,112,105,96,85,72,57,40,21,0

%N Triangular array T(n, k) = n^2 - k^2, read by rows.

%e The triangle begins:

%e n\k 0 1 2 3 4 5 6 7 8 9

%e 0 0

%e 1 1 0

%e 2 4 3 0

%e 3 9 8 5 0

%e 4 16 15 12 7 0

%e 5 25 24 21 16 9 0

%e 6 36 35 32 27 20 11 0

%e 7 49 48 45 40 33 24 13 0

%e 8 64 63 60 55 48 39 28 15 0

%e 9 81 80 77 72 65 56 45 32 17 0

%t Table[(n^2 - k^2), {n, 0, 11}, {k, 0, n}] // Flatten (* _Michael De Vlieger_, Jun 28 2020 *)

%K nonn,tabl

%O 0,4

%A _Mokhtar Mohamed_, Jun 25 2020