A241747 - OEIS

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

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OFFSET

0,1

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]

LINKS

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

EXAMPLE

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;

.....

MATHEMATICA

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

PROG

(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]];

CROSSREFS

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

Sequence in context: A277715 A173391 A259243 * A133762 A160414 A256530

Adjacent sequences: A241744 A241745 A241746 * A241748 A241749 A241750

KEYWORD

nonn,tabl,easy

AUTHOR

Vincenzo Librandi, Apr 29 2014

EXTENSIONS

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

STATUS

approved