1Diskrete Mathematik Department of Mathematics Technische Universitat Braunschweig and Statistics 38023 Braunschweig Arizona State University Germany Tempe, Arizona 85287-1804 USA
This paper answers the question as to whether every natural number is realizable as the number of ones in the top portion of rows of a general binary Pascal triangle. Moreover, the minimum number of rows is determined so that is realizable.
Keywords: Pascal triangle, varied initial values, reduced modulo 2, number of ones.