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%I #12 Mar 17 2022 12:59:25
%S 0,0,0,1,1,1,2,3,4,4,4,7,10,12,15
%N Codimension of Lyndon symmetric functions of degree n.
%C For each partition p of n, there is a "Lyndon symmetric function" L_p which is homogeneous of degree n. The Q-vector space V_n spanned by all Lyndon symmetric functions of degree n is a subspace of the space Lambda^n of all homogeneous symmetric functions over Q of degree n, which has dimension p(n), the number of partitions of n (A000041). Then a(n) is the codimension of V_n in Lambda^n.
%D R. Stanley, Enumerative Combinatorics, volume 2, Exercise 7.89.
%Y Cf. A000041.
%K nonn,more
%O 1,7
%A _Richard Stanley_, Mar 16 2022