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Search: id:A008789
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| 0, 1, 32, 729, 16384, 390625, 10077696, 282475249, 8589934592, 282429536481, 10000000000000, 379749833583241, 15407021574586368, 665416609183179841, 30491346729331195904, 1477891880035400390625, 75557863725914323419136
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
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FORMULA
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E.g.f.(x): T(1+8T+6T^2)(1-T)^(-7); where T=T(x) is Euler's tree function (see A000169). - Len Smiley (smiley(AT)math.uaa.alaska.edu), Nov 19 2001
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MAPLE
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printlevel := -1; a := [0]; T := x->-LambertW(-x); f := series((T(x)*(1+8*T(x)+6*(T(x))^2)/(1-T(x))^7), x, 24); for m from 1 to 23 do a := [op(a), op(2*m-1, f)*m! ] od; print(a); # Len Smiley (smiley(AT)math.uaa.alaska.edu), Nov 19 2001
a:=n->mul( n, k=-2..n): seq(a(n), n=0..16); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 26 2008
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CROSSREFS
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Cf. A000169, A000272, A000312, A007778, A007830, A008785-A008791.
Adjacent sequences: A008786 A008787 A008788 this_sequence A008790 A008791 A008792
Sequence in context: A020984 A062261 A060624 this_sequence A087423 A004384 A139677
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KEYWORD
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nonn
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AUTHOR
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njas
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