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A155546 Triangle read by rows where T(m,n)=2mn + m + n - 5, 1<=n<=m. 5

%I #10 Sep 08 2022 08:45:40

%S -1,2,7,5,12,19,8,17,26,35,11,22,33,44,55,14,27,40,53,66,79,17,32,47,

%T 62,77,92,107,20,37,54,71,88,105,122,139,23,42,61,80,99,118,137,156,

%U 175,26,47,68,89,110,131,152,173,194,215,29,52,75,98,121,144,167,190,213

%N Triangle read by rows where T(m,n)=2mn + m + n - 5, 1<=n<=m.

%C 2*T(m,n)+11 = (2*m+1)*(2*n+1) is not prime.

%C First column: A016789, second column: A016873, third column: A017041, fourth column: A017257. - _Vincenzo Librandi_, Nov 21 2012

%H Vincenzo Librandi, <a href="/A155546/b155546.txt">Rows n = 1..100, flattened</a>

%e Triangle begins:

%e -1;

%e 2, 7;

%e 5, 12, 19;

%e 8, 17, 26, 35;

%e 11, 22, 33, 44, 55;

%e 14, 27, 40, 53, 66, 79;

%e 17, 32, 47, 62, 77, 92, 107;

%e 20, 37, 54, 71, 88, 105, 122, 139;

%e 23, 42, 61, 80, 99, 118, 137, 156, 175;

%e 26, 47, 68, 89, 110, 131, 152, 173, 194, 215; etc.

%t t[n_,k_]:= 2 n*k + n + k - 5; Table[t[n, k], {n, 15}, {k, n}]//Flatten (* _Vincenzo Librandi_, Nov 21 2012 *)

%o (Magma) [2*n*k + n + k - 5: k in [1..n], n in [1..11]]; // _Vincenzo Librandi_, Nov 21 2012

%Y Cf. A101448, A153083, A016789, A016873, A017041, A017257.

%K tabl,sign,easy

%O 1,2

%A _Vincenzo Librandi_, Jan 24 2009

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Last modified June 4 22:04 EDT 2024. Contains 373102 sequences. (Running on oeis4.)