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

12, 15, 20, 18, 25, 32, 21, 30, 39, 48, 24, 35, 46, 57, 68, 27, 40, 53, 66, 79, 92, 30, 45, 60, 75, 90, 105, 120, 33, 50, 67, 84, 101, 118, 135, 152, 36, 55, 74, 93, 112, 131, 150, 169, 188, 39, 60, 81, 102, 123, 144, 165, 186, 207, 228, 42, 65, 88, 111, 134, 157, 180

Offset

1,1

Comments

If p=2*n+1 is a prime number, then T(n,n) = (p^2+15)/2.

First column: 3*A020705; second column: 5*A020705; third column: A017029. - Vincenzo Librandi, Nov 18 2012

Links

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

Formula

T(n,m) = A163672(n,m)+1.

Example

Triangle begins:
12;
15, 20;
18, 25, 32;
21, 30, 39, 48;
24, 35, 46, 57, 68;
27, 40, 53, 66, 79, 92;
30, 45, 60, 75, 90, 105, 120;
33, 50, 67, 84, 101, 118, 135, 152; etc.

Mathematica

Flatten[Table[2nm + m + n + 8, {n, 10}, {m, n}]] (* Vincenzo Librandi, Nov 18 2012 *)

Prog

(Magma) [2*n*k+n+k+8: k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 18 2012

Crossrefs

Cf. A153047, A020705, A017029.

Sequence in context: A120169 A115349 A196224 * A117815 A154390 A346608

Adjacent sequences: A163654 A163655 A163656 * A163658 A163659 A163660

Keyword

nonn,easy,tabl

Author

Vincenzo Librandi, Aug 02 2009

Extensions

Edited by R. J. Mathar, Oct 12 2009

Status

approved