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%I #8 Mar 23 2022 07:38:49
%S 1,2,1,4,2,1,7,4,4,1,11,8,11,4,1,16,15,25,11,6,1,22,26,50,26,22,6,1,
%T 29,42,91,56,63,22,8,1,37,64,154,112,154,64,37,8,1,46,93,24,210,336,
%U 162,129,37,10,1
%N A007318 * (A129686 + A133080 - I), where I is the identity matrix.
%C Left column = A000124: (1, 2, 4, 7, 11, ...).
%C Row sums = A133124: (1, 3, 7, 16, 35, 74, ...).
%F Binomial transform of matrix M, where M = a tridiagonal matrix with (1,1,1,...) in the main diagonal, (1,0,1,0,...) in the subdiagonal and (1,1,1,...) in the subsubdiagonal. M = (A129686 + A133080 - I), I = Identity matrix.
%e First few rows of the triangle:
%e 1;
%e 2, 1;
%e 4, 2, 1;
%e 7, 4, 4, 1;
%e 11, 8, 11, 4, 1;
%e 16, 15, 25, 11, 6, 1;
%e 22, 26, 50, 26, 22, 6, 1;
%e ...
%Y Cf. A000124, A133124, A129686, A133080.
%K nonn,tabl,more
%O 1,2
%A _Gary W. Adamson_, Sep 29 2007
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