The number of nonassociative -products with elements preceding the rightmost left parameter is

			(1)
			(2)

where is a binomial coefficient. The number of -products in a nonassociative algebra is

(3)

where is a Catalan number, 1, 1, 2, 5, 14, 42, 132, ... (Sloane's A000108).

Niven, I. M. Mathematics of Choice: Or, How to Count Without Counting. Washington, DC: Math. Assoc. Amer., pp. 140-152, 1965.

Sloane, N. J. A. Sequence A000108/M1459 in "The On-Line Encyclopedia of Integer Sequences."

CITE THIS AS:

Weisstein, Eric W. "Nonassociative Product." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/NonassociativeProduct.html