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%I #7 Mar 07 2022 02:06:35
%S 1,3,1,6,3,1,10,6,5,1,15,10,15,5,1,21,15,35,15,7,1,28,21,70,35,28,7,1,
%T 36,28,126,70,84,28,9,1,45,36,210,126,210,84,45,9,1,55,45,330,210,462,
%U 210,165,45,11,1
%N A007318 * A097806 * A133080.
%C Row sums = A033484: (1, 4, 10, 22, 46, 94, ...).
%F A007318 * A097806 * A133080 as infinite lower triangular matrices.
%F Binomial transform of an infinite lower triangular matrix with (1,1,1,...) in the main diagonal, (2,1,2,1,...) in the subdiagonal and (1,0,1,0,...) in the subsubdiagonal.
%e First few rows of the triangle:
%e 1;
%e 3, 1;
%e 6, 3, 1;
%e 10, 6, 5, 1;
%e 15, 10, 15, 5, 1;
%e 21, 15, 35, 15, 7, 1;
%e 28, 21, 70, 35, 28, 7, 1;
%e ...
%Y Cf. A133080, A097806, A033484.
%K nonn,tabl
%O 1,2
%A _Gary W. Adamson_, Sep 09 2007
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