Is it possible(or may be easier) to give an example of non associative algebra but commutative?

At first sight, it seems possible to prove associativity from commutativity but later realised it may no be the case.

The only example of non associative algebra which I know is Octonion but which is non-commutative. Then I started to create an artificial example. Here is my approach(same as to create an commutative): Let's $\textbf{C}$ denote the category of associative algebra. Suppose free object exists in this category say $F$ be a free associative algebra, then consider the quotient of $F$ by the ideal generated by its commutator elements. I don't know how much this work but certainly this way we will have lot of such examples.

Amer. Math. Monthly56(1949), 697-699. $\endgroup$ – Richard Stanley Jul 12 at 13:49