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A163652 Triangle read by rows where T(n,m)=2*m*n + m + n + 6.

%I A163652 #13 Oct 04 2024 14:20:38
%S A163652 10,13,18,16,23,30,19,28,37,46,22,33,44,55,66,25,38,51,64,77,90,28,43,
%T A163652 58,73,88,103,118,31,48,65,82,99,116,133,150,34,53,72,91,110,129,148,
%U A163652 167,186,37,58,79,100,121,142,163,184,205,226,40,63,86,109,132,155,178
%N A163652 Triangle read by rows where T(n,m)=2*m*n + m + n + 6.
%C A163652 The numbers 2*T(n,m)-11 = (2*n+1)*(2*m+1) are not prime, and 2*T(n,n) = (2n+1)^2.
%C A163652 First column: A112414, second column: A016885, third column: A017005, fourth column: A017173. - _Vincenzo Librandi_, Nov 20 2012
%H A163652 Vincenzo Librandi, <a href="/A163652/b163652.txt">Rows n = 1..100, flattened</a>
%F A163652 T(n,m) = A154685(n,m)+2 = A163657(n,m)-2. [_R. J. Mathar_, Oct 22 2009]
%e A163652 Triangle begins:
%e A163652   10;
%e A163652   13, 18;
%e A163652   16, 23, 30;
%e A163652   19, 28, 37, 46;
%e A163652   22, 33, 44, 55,  66;
%e A163652   25, 38, 51, 64,  77,  90;
%e A163652   28, 43, 58, 73,  88,  103, 118;
%e A163652   31, 48, 65, 82,  99,  116, 133, 150;
%e A163652   34, 53, 72, 91,  110, 129, 148, 167, 186;
%e A163652   37, 58, 79, 100, 121, 142, 163, 184, 205, 226;
%e A163652   40, 63, 86, 109, 132, 155, 178, 201, 224, 247, 270;
%e A163652   etc.
%t A163652 t[n_,k_]:=2 n*k + n + k +  6; Table[t[n, k], {n, 15}, {k, n}]//Flatten (* _Vincenzo Librandi_, Nov 20 2012 *)
%o A163652 (Magma) [2*n*k + n + k + 6: k in [1..n], n in [1..11]]; // _Vincenzo Librandi_, Nov 20 2012
%Y A163652 Cf. A153045, A154685, A163657, A112414, A016885, A017005, A017173.
%K A163652 nonn,easy,tabl
%O A163652 1,1
%A A163652 _Vincenzo Librandi_, Aug 02 2009
%E A163652 Comment clarified by _R. J. Mathar_, Oct 22 2009