%I A140183
%S A140183 1,2,2,3,5,1,4,9,4,2,5,14,10,9,1,6,20,20,25,6,2,7,27,35,55,21,13,1,8,35,
%T A140183 56,105,56,49,8,2,9,44,84,182,126,140,36,17,1,10,54,120,294,252,336,120,
%U A140183 81,10,2,1,65,165,450,462,714,330,285,55,21,1
%N A140183 Triangle read by rows, binomial transform of an infinite lower triangular 
               matrix with (1,2,1,2,1,2,...) in the main diagonal, (1,1,1,...) in 
               the subdiagonal and the rest zeros.
%C A140183 Row sums = A052549: (1, 4, 9, 19, 39, 79,...).
%F A140183 Triangle read by rows, A007318 as an infinite lower triangular matrix 
               * a bidiagonal matrix with (1,2,1,2,1,2,...) in the main diagonal 
               and (1,1,1,...) in the subdiagonal.
%e A140183 First few rows of the triangle are:
%e A140183 1;
%e A140183 2, 2;
%e A140183 3, 5, 1;
%e A140183 4, 9, 4, 2;
%e A140183 5, 14, 10, 9, 1;
%e A140183 6, 20, 20, 25, 6, 2;
%e A140183 7, 27, 35, 55, 21, 13, 1;
%e A140183 ...
%Y A140183 Cf. A052549.
%Y A140183 Sequence in context: A067088 A065519 A058256 this_sequence A130725 A138117 
               A152430
%Y A140183 Adjacent sequences: A140180 A140181 A140182 this_sequence A140184 A140185 
               A140186
%K A140183 nonn,tabl
%O A140183 0,2
%A A140183 Gary W. Adamson (qntmpkt(AT)yahoo.com), May 11 2008