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

11, 14, 19, 17, 24, 31, 20, 29, 38, 47, 23, 34, 45, 56, 67, 26, 39, 52, 65, 78, 91, 29, 44, 59, 74, 89, 104, 119, 32, 49, 66, 83, 100, 117, 134, 151, 35, 54, 73, 92, 111, 130, 149, 168, 187, 38, 59, 80, 101, 122, 143, 164, 185, 206, 227, 41, 64, 87, 110, 133, 156, 179

Offset

1,1

Comments

2*T(n,n) - 13 = (2n+1)^2.

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

Links

Vincenzo Librandi, Rows n = 1..100, flattened

Formula

T(n,m) = A163674(n,m)-2 = A163657(n,m)-1.

Example

Triangle begins:
  11;
  14,  19;
  17,  24,  31;
  20,  29,  38,  47;
  23,  34,  45,  56,  67;
  26,  39,  52,  65,  78,  91;
  29,  44,  59,  74,  89, 104, 119;
  32,  49,  66,  83, 100, 117, 134, 151;

Mathematica

t[n_, k_]:=2 n*k + n + k + 7; Table[t[n, k], {n, 15}, {k, n}]//Flatten (* Vincenzo Librandi, Nov 20 2012 *)

Prog

(Magma) [2*n*k + n + k + 7: k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 20 2012
(PARI) for(n=1, 10, for(m=1, n, print1(2*m*n + m + n + 7, ", "))) \\ G. C. Greubel, Aug 02 2017

Crossrefs

Cf. A016789, A016897, A017017, A017185, A153049, A163674, A163657.

Sequence in context: A159020 A015830 A242098 * A216580 A114948 A191933

Adjacent sequences: A163669 A163670 A163671 * A163673 A163674 A163675

Keyword

nonn,easy,tabl

Author

Vincenzo Librandi, Aug 03 2009

Extensions

Edited by R. J. Mathar, Oct 12 2009

Status

approved