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

%I A241747 #47 Sep 08 2022 08:46:07
%S A241747 9,21,49,33,77,121,45,105,165,225,57,133,209,285,361,69,161,253,345,
%T A241747 437,529,81,189,297,405,513,621,729,93,217,341,465,589,713,837,961,
%U A241747 105,245,385,525,665,805,945,1085,1225,117,273,429,585,741,897,1053,1209,1365,1521
%N A241747 Triangle read by rows: T(n,k) = (4*n+3)*(4*k+3).
%C A241747 A016838(n) first diagonal.
%C A241747 A085027(n) second diagonal.
%C A241747 A017629(n) column k=0.
%C A241747 Row sums give the second bisection of A002414: 9, 70, 231, 540, 1045, 1794, 2835, 4216, ... [_Bruno Berselli_, May 08 2014]
%H A241747 Vincenzo Librandi, <a href="/A241747/b241747.txt">Rows n = 0..100, flattened</a>
%e A241747 Triangle begins:
%e A241747 n\k |   0     1     2    3    4    5     6     7     8     9
%e A241747 ----|--------------------------------------------------------
%e A241747 0   |   9;
%e A241747 1   |  21,   49;
%e A241747 2   |  33,   77,  121;
%e A241747 3   |  45,  105,  165, 225;
%e A241747 4   |  57,  133,  209, 285, 361;
%e A241747 5   |  69,  161,  253, 345, 437, 529;
%e A241747 6   |  81,  189,  297, 405, 513, 621,  729;
%e A241747 7   |  93,  217,  341, 465, 589, 713,  837,  961;
%e A241747 8   | 105,  245,  385, 525, 665, 805,  945, 1085, 1225;
%e A241747 9   | 117,  273,  429, 585, 741, 897, 1053, 1209, 1365, 1521;
%e A241747 .....
%t A241747 t[n_, k_] := (4 n + 3) (4 k + 3); Table[t[n, k], {n, 0, 10}, {k, n}] // Flatten
%o A241747 (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]];
%Y A241747 Cf. A002145, A004767, A016838, A017629, A085027.
%K A241747 nonn,tabl,easy
%O A241747 0,1
%A A241747 _Vincenzo Librandi_, Apr 29 2014
%E A241747 Edited by _Alois P. Heinz_ and _Bruno Berselli_, May 08 2014