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Triangle read by rows: T(n,k) = 2^(2n) mod (2k+1).
1

%I #17 Jun 29 2024 10:59:36

%S 0,0,1,0,1,1,0,1,4,1,0,1,1,4,4,0,1,4,2,7,1,0,1,1,1,1,4,1,0,1,4,4,4,5,

%T 4,4,0,1,1,2,7,9,3,1,1,0,1,4,1,1,3,12,4,4,1,0,1,1,4,4,1,9,1,16,4,4

%N Triangle read by rows: T(n,k) = 2^(2n) mod (2k+1).

%e The triangle starts at row n = 0 with columns 0 <= k <= n:

%e 0;

%e 0, 1;

%e 0, 1, 1;

%e 0, 1, 4, 1;

%e 0, 1, 1, 4, 4;

%e 0, 1, 4, 2, 7, 1;

%e 0, 1, 1, 1, 1, 4, 1;

%e 0, 1, 4, 4, 4, 5, 4, 4;

%t Array[PowerMod[2, 2*#, Range[1, 2*#+1, 2]] &, 15, 0] (* _Paolo Xausa_, Jun 29 2024 *)

%Y Cf. A005408, A005843.

%K nonn,tabl,easy

%O 0,9

%A _Juri-Stepan Gerasimov_, Nov 30 2010