A241747 Triangle read by rows: T(n,k) = (4*n+3)*(4*k+3).

9, 21, 49, 33, 77, 121, 45, 105, 165, 225, 57, 133, 209, 285, 361, 69, 161, 253, 345, 437, 529, 81, 189, 297, 405, 513, 621, 729, 93, 217, 341, 465, 589, 713, 837, 961, 105, 245, 385, 525, 665, 805, 945, 1085, 1225, 117, 273, 429, 585, 741, 897, 1053, 1209, 1365, 1521

Offset: 0

Author

Vincenzo Librandi, Apr 29 2014

Keywords

• nonn
• tabl
• easy

Comments

A016838(n) first diagonal.

A085027(n) second diagonal.

A017629(n) column k=0.

Row sums give the second bisection of A002414: 9, 70, 231, 540, 1045, 1794, 2835, 4216, ... [Bruno Berselli, May 08 2014]

Examples

			Triangle begins:
n\k |   0     1     2    3    4    5     6     7     8     9
----|--------------------------------------------------------
0   |   9;
1   |  21,   49;
2   |  33,   77,  121;
3   |  45,  105,  165, 225;
4   |  57,  133,  209, 285, 361;
5   |  69,  161,  253, 345, 437, 529;
6   |  81,  189,  297, 405, 513, 621,  729;
7   |  93,  217,  341, 465, 589, 713,  837,  961;
8   | 105,  245,  385, 525, 665, 805,  945, 1085, 1225;
9   | 117,  273,  429, 585, 741, 897, 1053, 1209, 1365, 1521;
.....
		

Links

• Vincenzo Librandi, Rows n = 0..100, flattened

Crossrefs

Cf. A002145, A004767, A016838, A017629, A085027.

Programs

Magma

[(4*n+3)*(4*k+3): k in [0..n], n in [0..15]]; /* or, as triangle: */ [[(4*n+3)*(4*k+3): k in [0..n]]: n in [0..10]];

Mathematica

t[n_, k_] := (4 n + 3) (4 k + 3); Table[t[n, k], {n, 0, 10}, {k, n}] // Flatten

Extensions

Edited by Alois P. Heinz and Bruno Berselli, May 08 2014