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 A123256 Dimension of the invariant subspace in modules over the symmetric groups S_n of dimension n*(n+1)^(n-1). 0
 1, 2, 3, 6, 10, 24, 49, 121, 289, 730, 1843, 4794, 12487 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS No simple formula known, just a complicated sum over partitions. Empirically a(n+1) = sum( d divides n, A000081(d) ), this holds for the terms given. If true, this sequences starts 1, 2, 3, 6, 10, 24, 49, 121, 289, 730, 1843, 4794, 12487, 33023, 87823, 235502, 634848, 1721469, 4688677, 12826962, 35221883, 97057025, 268282856, 743729893, 2067174655, ... . - Joerg Arndt, Sep 03 2015 LINKS Table of n, a(n) for n=2..14. EXAMPLE a(5)=6 from the module 2 s[1, 1, 1, 1, 1] + 9 s[2, 1, 1, 1] + 14 s[2, 2, 1] + 14 s[3, 1, 1] + 14 s[3,2] + 13 s[4, 1] + 6 s[5]. CROSSREFS Cf. A000081, A098091. Sequence in context: A152536 A185164 A124345 * A111275 A298537 A272079 Adjacent sequences: A123253 A123254 A123255 * A123257 A123258 A123259 KEYWORD nonn,more AUTHOR F. Chapoton, Oct 09 2006 STATUS approved

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Last modified August 5 17:52 EDT 2024. Contains 374954 sequences. (Running on oeis4.)