%I A153869
%S A153869 1,1,0,1,2,0,0,2,3,0,0,0,3,4,0,0,0,0,4,5,0,0,0,0,0,5,6,0,0,0,0,0,0,6,7,
%T A153869 0,0,0,0,0,0,0,7,8,0,0,0,0,0,0,0,0,8,9,0
%N A153869 Triangle read by rows, A129186 * A128064(unsigned).
%C A153869 Lim_{k->inf} A153869^n = A000255: (1, 1, 3, 11, 53, 309, 2119,...).
%C A153869 Row sums = (1, 1, 3, 5, 7, 9,...).
%C A153869 A153869 * (1, 2, 3,...) = A001844 prefaced with a 1: (1, 1, 5, 13, 25, 
               41,...).
%F A153869 Triangle read by rows, A129186 * A128064; where A129186 = a shift operator, 
               shifting down triangle A128064(unsigned) one row and inserting a 
               "1" at (1,1).
%e A153869 First few rows of the triangle =
%e A153869 1;
%e A153869 1, 0;
%e A153869 1, 2, 0;
%e A153869 0, 2, 3, 0;
%e A153869 0, 0, 3, 4, 0;
%e A153869 0, 0, 0, 4, 5, 0;
%e A153869 0, 0, 0, 0, 5, 6, 0;
%e A153869 0, 0, 0, 0, 0, 6, 7, 0;
%e A153869 0, 0, 0, 0, 0, 0, 7, 8, 0;
%e A153869 ...
%Y A153869 Cf. A128064, A129186, A000255, A001844
%Y A153869 Sequence in context: A033737 A033747 A087611 this_sequence A128541 A122908 
               A091008
%Y A153869 Adjacent sequences: A153866 A153867 A153868 this_sequence A153870 A153871 
               A153872
%K A153869 nonn,tabl
%O A153869 1,5
%A A153869 Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 03 2009