%I #8 Jun 01 2023 14:55:15
%S 1,1,3,1,6,4,1,9,12,5,1,12,24,20,7,1,15,40,50,35,8,1,18,60,100,105,48,
%T 9,1,21,84,175,245,168,63,11,1,24,112,280,490,448,252,88,12,1,27,144,
%U 420,882,1008,756,396,108,13,1,30,180,600,1470,2016,1890,1320,540,130,15,1,33,220,825,2310,3696,4158,3630,1980,715,165,16
%N Triangle read by rows: A007318 * A133109.
%C Row sums = A100335: (1, 4, 11, 27, 64, 149, ...).
%F Binomial transform of A133109, as an infinite lower triangular matrix.
%e First few rows of the triangle:
%e 1;
%e 1, 3;
%e 1, 6, 4;
%e 1, 9, 12, 5;
%e 1, 12, 24, 20, 7;
%e 1, 15, 40, 50, 35, 8;
%e 1, 18, 60, 100, 105, 48, 9;
%e ...
%Y Cf. A007318, A100335, A133109.
%K nonn,tabl
%O 1,3
%A _Gary W. Adamson_, Sep 12 2007
%E a(50) corrected and more terms from _Georg Fischer_, Jun 01 2023