%I A140737
%S A140737 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 A140737 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 A140737 120,165,55,66,12,13,1,1
%N A140737 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.
%C A140737 Row sums = F(2n), A001906: (1, 3, 8, 21, 55, 144,...).
%e A140737 First few rows of the triangle are:
%e A140737 1;
%e A140737 1, 1, 1;
%e A140737 1, 2, 3, 1, 1;
%e A140737 1, 3, 6, 4, 5, 1, 1;
%e A140737 1, 4, 10, 10, 15, 6, 7, 1, 1;
%e A140737 1, 5, 15, 20, 35, 21, 28, 8, 9, 1, 1;
%e A140737 1, 6, 21, 35, 70, 56, 84, 36, 45, 10, 11, 1, 1;
%e A140737 1, 7, 28, 56, 126, 126, 210, 120, 165, 55, 66, 12, 13, 1, 1;
%e A140737 ...
%Y A140737 Cf. A140736, A001906.
%Y A140737 Sequence in context: A100619 A094006 A140188 this_sequence A108756 A106178 
               A108714
%Y A140737 Adjacent sequences: A140734 A140735 A140736 this_sequence A140738 A140739 
               A140740
%K A140737 nonn,tabl
%O A140737 1,6
%A A140737 Gary W. Adamson (AT) Roger L. Bagula (qntmpktK(AT)yahoo.com), May 25 
               2008