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Dimensions of the invariant subspaces in a sequence of modules of dimension (n+1)^(n-1) over the symmetric groups S_n.
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%I #2 Mar 31 2012 20:25:48

%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)^(n-1) 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