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Triangle read by rows: A007318 * A133109.
2

%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