The number of nonassociative -products with elements preceding the rightmost left parameter is
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, ...
(OEIS A000108).
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References
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."Referenced on Wolfram|Alpha
Nonassociative Product
Cite this as:
Weisstein, Eric W. "Nonassociative Product."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NonassociativeProduct.html
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