%I #5 Mar 23 2022 01:06:41

%S 1,1,2,1,4,4,1,6,12,7,1,8,24,28,12,1,10,40,70,60,13,1,12,60,140,180,

%T 78,14,1,14,84,245,420,273,98,15,1,16,112,392,840,728,392,120,16,1,18,

%U 144,588,1512,1638,1176,540,144,18

%N A007318 * A052474.

%C Right border = A052474: (1, 2, 4, 7, 12, 13, 14, 15, 16, 18, 20, ...).

%C Row sums = A057153: (1, 3, 9, 26, 73, 194, 485, 1150, ...).

%F Binomial transform of A052474 as a diagonalized matrix (A052474 as the diagonal of an infinite lower triangular matrix and the rest zeros).

%e First few rows of the triangle:

%e 1;

%e 1, 2;

%e 1, 4, 4;

%e 1, 6, 12, 7;

%e 1, 8, 24, 28, 12;

%e 1, 10, 40, 70, 60, 13;

%e 1, 12, 60, 140, 180, 78, 14;

%e ...

%Y Cf. A052474, A057153.

%K nonn,tabl

%O 1,3

%A _Gary W. Adamson_, Sep 14 2007