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A154681 Triangle read by rows where T(m,n) = 2*m*n + m + n +3.

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%I A154681 #15 Sep 08 2022 08:45:40
%S A154681 7,10,15,13,20,27,16,25,34,43,19,30,41,52,63,22,35,48,61,74,87,25,40,
%T A154681 55,70,85,100,115,28,45,62,79,96,113,130,147,31,50,69,88,107,126,145,
%U A154681 164,183,34,55,76,97,118,139,160,181,202,223,37,60,83,106,129,152
%N A154681 Triangle read by rows where T(m,n) = 2*m*n + m + n +3.
%C A154681 2*T(m,n) - 5 = (2*n+1)*(2*m+1) is not prime.
%C A154681 First column: A112414; second column: A008587.
%H A154681 Vincenzo Librandi, <a href="/A154681/b154681.txt">Rows n = 1..100, flattened</a>
%e A154681 Triangle begins:
%e A154681   7;
%e A154681   10, 15;
%e A154681   13, 20, 27;
%e A154681   16, 25, 34, 43;
%e A154681   19, 30, 41, 52,  63;
%e A154681   22, 35, 48, 61,  74,  87;
%e A154681   25, 40, 55, 70,  85, 100, 115;
%e A154681   28, 45, 62, 79,  96, 113, 130, 147;
%e A154681   31, 50, 69, 88, 107, 126, 145, 164, 183;
%e A154681   34, 55, 76, 97, 118, 139, 160, 181, 202, 223; etc.
%t A154681 t[n_,k_]:=2 n*k + n + k + 3; Table[t[n, k], {n, 10}, {k, n}]//Flatten (* _vincenzo Librandi_, Nov 17 2012 *)
%o A154681 (Magma) [(2*n*k + n + k + 3): k in [1..n], n in [1..11]]; // _Vincenzo Librandi_, Nov 17 2012
%Y A154681 Cf. A153040, A008587, A089253, A112414.
%K A154681 nonn,tabl,easy
%O A154681 1,1
%A A154681 _Vincenzo Librandi_, Jan 18 2009