This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A153869 #3 Mar 30 2012 17:25:33
%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,
%T A153869 7,0,0,0,0,0,0,0,7,8,0,0,0,0,0,0,0,0,8,9,0
%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
%K A153869 nonn,tabl
%O A153869 1,5
%A A153869 _Gary W. Adamson_, Jan 03 2009