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A141312
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Inverse Euler transform of A003480.
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1
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1, 2, 4, 12, 31, 92, 256, 772, 2291, 7000, 21476, 66804, 208935, 658924, 2088628, 6656820, 21306270, 68468796, 220776444, 714117012, 2316229821, 7531561676, 24545492916, 80160031076, 262279882239, 859660694960, 2822177751148, 9278647613760, 30547880467863
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OFFSET
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0,2
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COMMENTS
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Dimensions of the graded components of the primitive Lie algebra of the Hopf algebra of noncommutative multisymmetric functions of level 2.
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LINKS
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FORMULA
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MAPLE
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EULERi(INVERT([seq(n+1, n=1..20)]));
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MATHEMATICA
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terms = 29;
mob[m_, n_] := If[Mod[m, n] == 0, MoebiusMu[m/n], 0];
EULERi[b_] := Module[{a, c, i, d}, c = {}; For[i=1, i <= Length[b], i++, c = Append[c, i b[[i]] - Sum[c[[d]] b[[i-d]], {d, 1, i-1}]]]; a = {}; For[i = 1, i <= Length[b], i++, a = Append[a, (1/i) Sum[mob[i, d] c[[d]], {d, 1, i}]]]; Return[a]];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Jun 26 2008
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EXTENSIONS
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STATUS
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approved
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