%I
%S 1,2,3,6,12,27,61,142,338,821,2010,4967,12395,31165,78821,200476,
%T 512546,1316337,3394202,8784064,22809135,59407930,155162456,406294516,
%U 1066407001,2805143797,7393812949,19525497125,51653666339,136872356055
%N Dimensions of the invariant subspaces in a sequence of modules of dimension (n+1)^(n1) over the symmetric groups S_n.
%F No simple formula is known, only a complicated sum over partitions.
%e a(3)=3 in the module M_3 = 3 s_{3} + 6 s_{2,1} + s_{1,1,1}.
%Y Cf. A000272.
%K nonn
%O 1,2
%A _F. Chapoton_, Jul 18 2005
