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a(n) is the dimension of the multilinear part of the free flexible algebra with n generators.
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%I #20 Feb 27 2024 09:44:26

%S 1,2,9,61,545,5986

%N a(n) is the dimension of the multilinear part of the free flexible algebra with n generators.

%C The flexible identity is (x*y)*z + (z*y)*x = x*(y*z) + z*(y*x).

%C Flexible algebras are algebras (possibly non-associative) satisfying this identity.

%Y Cf. A370677 for flexible Lie-admissible algebras.

%K nonn,hard,more

%O 1,2

%A _Paul Laubie_, Feb 26 2024