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%I #8 Mar 23 2022 07:39:27
%S 1,2,1,3,4,1,4,9,4,1,5,16,10,6,1,6,25,20,20,6,1,7,36,35,50,21,8,1,8,
%T 49,56,105,56,35,8,1,9,64,84,196,126,112,36,10,1,10,81,120,336,252,
%U 294,120,54,10,1
%N A007318 * (A097806 + A133566 - I), where I is the identity matrix.
%C Row sums = A133806: (1, 3, 8, 18, 38, 78, 158, ...).
%F Binomial transform of matrix M, where M = (A097806 + A133566 - I) = triangle with (1,1,1,...) in the main diagonal, (1,2,1,2,1,...) in the subdiagonal and the rest zeros. I = Identity matrix.
%e First few rows of the triangle:
%e 1;
%e 2, 1;
%e 3, 4, 1;
%e 4, 9, 4, 1;
%e 5, 16, 10, 6, 1;
%e 6, 25, 20, 20, 6, 1;
%e 7, 36, 35, 50, 21, 8, 1;
%e ...
%Y Cf. A133566, A007318 , A097806, A133806.
%K nonn,tabl,more
%O 1,2
%A _Gary W. Adamson_, Sep 23 2007