This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A143129 #2 Mar 30 2012 17:25:29
%S A143129 1,5,4,15,14,10,35,34,30,20,70,69,65,55,35,126,125,121,111,91,56,210,
%T A143129 209,205,195,175,140,84,330,329,325,315,295,260,204,120,495,494,490,
%U A143129 480,460,425,369,285,165,715,714,710,700,680,645,589,505,385,220,1001,1000
%N A143129 Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n.
%C A143129 Row sums = A034263: (1, 9, 39, 119, 294,...).
%F A143129 Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n
%e A143129 First few rows of the triangle =
%e A143129 1;
%e A143129 5, 4;
%e A143129 15, 14, 10;
%e A143129 35, 34, 30, 20;
%e A143129 70, 69, 65, 55, 35;
%e A143129 126, 125, 121, 111, 91, 56;
%e A143129 210, 209l 205, 195, 175, 140, 84;
%e A143129 ...
%e A143129 T(5,3) = 65 = (10 + 20 + 35), where A000292 = (1, 4, 10, 20, 35,...)
%Y A143129 Cf. A000292, A034263.
%K A143129 nonn,tabl
%O A143129 1,2
%A A143129 _Gary W. Adamson_, Jul 26 2008