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A108915
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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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0
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1, 2, 3, 6, 12, 27, 61, 142, 338, 821, 2010, 4967, 12395, 31165, 78821, 200476, 512546, 1316337, 3394202, 8784064, 22809135, 59407930, 155162456, 406294516, 1066407001, 2805143797, 7393812949, 19525497125, 51653666339, 136872356055
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OFFSET
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1,2
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LINKS
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FORMULA
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No simple formula is known, only a complicated sum over partitions.
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EXAMPLE
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a(3)=3 in the module M_3 = 3 s_{3} + 6 s_{2,1} + s_{1,1,1}.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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