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Search: id:A131764
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| A131764 |
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Dimensions of some specific free Lie algebra. |
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+0
1
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| 2, 3, 10, 30, 102, 335, 1170, 4080, 14560, 52377, 190650, 698870, 2581110, 9586395, 35791358, 134215680, 505290270, 1908866960, 7233629130
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OFFSET
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1,1
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COMMENT
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This is the sequence of dimensions of a free Lie algebra on some specific set of generators.
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FORMULA
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(1/n)*Sum(moebius(n/d)*2^(2*d-1), d in divisors(n))
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EXAMPLE
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a(1)=2
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PROGRAM
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MUPAD aa(n):=proc(n) begin 1/n*_plus(moebius(n/d)*2^(2*d-1)$d in divisors(n)) end;
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CROSSREFS
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Cf. A022553, A000984, A000108.
Sequence in context: A004980 A034324 A121909 this_sequence A066706 A080022 A057146
Adjacent sequences: A131761 A131762 A131763 this_sequence A131765 A131766 A131767
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KEYWORD
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nonn
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AUTHOR
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F. Chapoton (fchapoton(AT)voila.fr), Oct 04 2007
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