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%I #7 Nov 14 2023 04:43:42
%S 1,1,1,1,1,2,3,1,1,1,3,6,4,5,1,1,1,4,10,10,15,6,7,1,1,1,5,15,20,35,21,
%T 28,8,9,1,1,1,6,21,35,70,56,84,36,45,10,11,1,1,1,7,28,56,126,126,210,
%U 120,165,55,66,12,13,1,1
%N Triangle read by rows, X^n * [1,0,0,0,...]; where X = an infinite tridiagonal matrix with (1,1,1,...) in the main and subdiagonals and (1,0,1,0,1,...) in the subsubdiagonal.
%e First few rows of the triangle are:
%e 1;
%e 1, 1, 1;
%e 1, 2, 3, 1, 1;
%e 1, 3, 6, 4, 5, 1, 1;
%e 1, 4, 10, 10, 15, 6, 7, 1, 1;
%e 1, 5, 15, 20, 35, 21, 28, 8, 9, 1, 1;
%e 1, 6, 21, 35, 70, 56, 84, 36, 45, 10, 11, 1, 1;
%e 1, 7, 28, 56, 126, 126, 210, 120, 165, 55, 66, 12, 13, 1, 1;
%e ...
%Y Cf. A140736 (reversed rows), A001906 (row sums).
%K nonn,tabf
%O 1,6
%A _Gary W. Adamson_ and _Roger L. Bagula_, May 25 2008
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