Classification of All Associative Mono-n-ary Algebras with 2 Elements

Table 1

Number of nonisomorphic associative mono-𝑛-ary algebras with 𝑘 elements.

n	k
	1	2	3	4	5	6	7	8	⋯
1	1	3	7	19	47	130	343	951	⋯
2	1	5	24	188	⋯	⋯	⋯	⋯
3	1	6	⋯	⋯
⋯	⋯	⋯