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A163657 Triangle T(m,n) = 2*m*n + m + n + 8 read by rows.

%I A163657 #16 Sep 08 2022 08:45:46
%S A163657 12,15,20,18,25,32,21,30,39,48,24,35,46,57,68,27,40,53,66,79,92,30,45,
%T A163657 60,75,90,105,120,33,50,67,84,101,118,135,152,36,55,74,93,112,131,150,
%U A163657 169,188,39,60,81,102,123,144,165,186,207,228,42,65,88,111,134,157,180
%N A163657 Triangle T(m,n) = 2*m*n + m + n + 8 read by rows.
%C A163657 If p=2*n+1 is a prime number, then T(n,n) = (p^2+15)/2.
%C A163657 First column: 3*A020705; second column: 5*A020705; third column: A017029. - _Vincenzo Librandi_, Nov 18 2012
%H A163657 Vincenzo Librandi, <a href="/A163657/b163657.txt">Rows n = 1..100, flattened</a>
%F A163657 T(n,m) = A163672(n,m)+1.
%e A163657 Triangle begins:
%e A163657 12;
%e A163657 15, 20;
%e A163657 18, 25, 32;
%e A163657 21, 30, 39, 48;
%e A163657 24, 35, 46, 57, 68;
%e A163657 27, 40, 53, 66, 79, 92;
%e A163657 30, 45, 60, 75, 90, 105, 120;
%e A163657 33, 50, 67, 84, 101, 118, 135, 152; etc.
%t A163657 Flatten[Table[2nm + m + n + 8, {n, 10}, {m, n}]] (* _Vincenzo Librandi_, Nov 18 2012 *)
%o A163657 (Magma) [2*n*k+n+k+8: k in [1..n], n in [1..11]]; // _Vincenzo Librandi_, Nov 18 2012
%Y A163657 Cf. A153047, A020705, A017029.
%K A163657 nonn,easy,tabl
%O A163657 1,1
%A A163657 _Vincenzo Librandi_, Aug 02 2009
%E A163657 Edited by _R. J. Mathar_, Oct 12 2009