A143129 - OEIS

%I #2 Mar 30 2012 17:25:29

%S 1,5,4,15,14,10,35,34,30,20,70,69,65,55,35,126,125,121,111,91,56,210,

%T 209,205,195,175,140,84,330,329,325,315,295,260,204,120,495,494,490,

%U 480,460,425,369,285,165,715,714,710,700,680,645,589,505,385,220,1001,1000

%N Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n.

%C Row sums = A034263: (1, 9, 39, 119, 294,...).

%F Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n

%e First few rows of the triangle =

%e 1;

%e 5, 4;

%e 15, 14, 10;

%e 35, 34, 30, 20;

%e 70, 69, 65, 55, 35;

%e 126, 125, 121, 111, 91, 56;

%e 210, 209l 205, 195, 175, 140, 84;

%e ...

%e T(5,3) = 65 = (10 + 20 + 35), where A000292 = (1, 4, 10, 20, 35,...)

%Y Cf. A000292, A034263.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Jul 26 2008