A Number Triangle created by setting the Vertex equal to 0, filling one diagonal with 1s,
the other diagonal with multiples of an Integer , and filling in the remaining entries by summing the elements on
either side from one row above. Call the first column and the last column so that
So far, this has just been relatively boring Algebra. But the amazing part is that if is chosen as the
Integer, then and simplify to
See also Bell Triangle, Catalan's Triangle, Euler's Triangle, Leibniz Harmonic Triangle, Number Triangle, Pascal's Triangle, Seidel-Entringer-Arnold Triangle, Sum
Clark, J. E. ``Clark's Triangle.'' Math. Student 26, No. 2, p. 4, Nov. 1978.
© 1996-9 Eric W. Weisstein