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A163652
Triangle read by rows where T(n,m)=2*m*n + m + n + 6.
3
10, 13, 18, 16, 23, 30, 19, 28, 37, 46, 22, 33, 44, 55, 66, 25, 38, 51, 64, 77, 90, 28, 43, 58, 73, 88, 103, 118, 31, 48, 65, 82, 99, 116, 133, 150, 34, 53, 72, 91, 110, 129, 148, 167, 186, 37, 58, 79, 100, 121, 142, 163, 184, 205, 226, 40, 63, 86, 109, 132, 155, 178
OFFSET
1,1
COMMENTS
The numbers 2*T(n,m)-11 = (2*n+1)*(2*m+1) are not prime, and 2*T(n,n) = (2n+1)^2.
First column: A112414, second column: A016885, third column: A017005, fourth column: A017173. - Vincenzo Librandi, Nov 20 2012
LINKS
Vincenzo Librandi, Rows n = 1..100, flattened
FORMULA
T(n,m) = A154685(n,m)+2 = A163657(n,m)-2. [R. J. Mathar, Oct 22 2009]
EXAMPLE
Triangle begins:
10;
13, 18;
16, 23, 30;
19, 28, 37, 46;
22, 33, 44, 55, 66;
25, 38, 51, 64, 77, 90;
28, 43, 58, 73, 88, 103, 118;
31, 48, 65, 82, 99, 116, 133, 150;
34, 53, 72, 91, 110, 129, 148, 167, 186;
37, 58, 79, 100, 121, 142, 163, 184, 205, 226;
40, 63, 86, 109, 132, 155, 178, 201, 224, 247, 270;
etc.
MATHEMATICA
t[n_, k_]:=2 n*k + n + k + 6; Table[t[n, k], {n, 15}, {k, n}]//Flatten (* Vincenzo Librandi, Nov 20 2012 *)
PROG
(Magma) [2*n*k + n + k + 6: k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 20 2012
KEYWORD
nonn,easy,tabl
AUTHOR
Vincenzo Librandi, Aug 02 2009
EXTENSIONS
Comment clarified by R. J. Mathar, Oct 22 2009
STATUS
approved