Generalized Hidden Hexagon Squares
Arjun K. Gupta · The Fibonacci Quarterly · 1974
The triangular array of binomial coefficients is well known. Recently, Hoggatt and Hansel [2] have obtained a very surprising result involving these numbers. Stanton and Cowan [3] and Gupta [ l] have generalized this triangular array to a tableau. In this paper, we generalize the results due to Hoggatt and Hansel. Let, for any positive integer m and any integer n, [ J =. 0 if either n> m or n < 0. Then we prove the following theorem. Theorem. The product of the six binomial coefficients spaced around ( J, viz.,