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A163672 Triangle T(n,m) = 2mn + m + n + 7 read by rows.

%I A163672 #15 Sep 08 2022 08:45:46
%S A163672 11,14,19,17,24,31,20,29,38,47,23,34,45,56,67,26,39,52,65,78,91,29,44,
%T A163672 59,74,89,104,119,32,49,66,83,100,117,134,151,35,54,73,92,111,130,149,
%U A163672 168,187,38,59,80,101,122,143,164,185,206,227,41,64,87,110,133,156,179
%N A163672 Triangle T(n,m) = 2mn + m + n + 7 read by rows.
%C A163672 2*T(n,n) - 13 = (2n+1)^2.
%C A163672 The numbers 2*T(m,n)-13 =(2*n+1)*(2*m+1) are not prime. Also: first column: A016789; second column: A016897; third column: A017017; fourth column: A017185. - _Vincenzo Librandi_, Nov 20 2012
%H A163672 Vincenzo Librandi, <a href="/A163672/b163672.txt">Rows n = 1..100, flattened</a>
%F A163672 T(n,m) = A163674(n,m)-2 = A163657(n,m)-1.
%e A163672 Triangle begins:
%e A163672   11;
%e A163672   14,  19;
%e A163672   17,  24,  31;
%e A163672   20,  29,  38,  47;
%e A163672   23,  34,  45,  56,  67;
%e A163672   26,  39,  52,  65,  78,  91;
%e A163672   29,  44,  59,  74,  89, 104, 119;
%e A163672   32,  49,  66,  83, 100, 117, 134, 151;
%t A163672 t[n_,k_]:=2 n*k + n + k + 7; Table[t[n, k], {n, 15}, {k, n}]//Flatten (* _Vincenzo Librandi_, Nov 20 2012 *)
%o A163672 (Magma) [2*n*k + n + k + 7: k in [1..n], n in [1..11]]; // _Vincenzo Librandi_, Nov 20 2012
%o A163672 (PARI) for(n=1,10, for(m=1,n, print1(2*m*n + m + n + 7, ", "))) \\ _G. C. Greubel_, Aug 02 2017
%Y A163672 Cf. A016789, A016897, A017017, A017185, A153049, A163674, A163657.
%K A163672 nonn,easy,tabl
%O A163672 1,1
%A A163672 _Vincenzo Librandi_, Aug 03 2009
%E A163672 Edited by _R. J. Mathar_, Oct 12 2009