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Search: id:A006871
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| A006871 |
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Exponentiation of g.f. for rooted trees. |
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+0
1
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| 1, 2, 6, 22, 95, 470, 2618, 16159, 109177, 799959, 6309111, 53230208, 477941835, 4546562149, 45646689381, 482052312792, 5338922526947, 61851205026759, 747755335385701, 9413952961001366, 123184994320876476
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Index entries for sequences related to rooted trees
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MAPLE
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b:= proc(n) option remember; if n<=1 then n else add(k*b(k)* s(n-1, k), k=1..n-1)/(n-1) fi end: s:= proc(n, k) option remember; add(b(n+1-j*k), j=1..iquo(n, k)) end: B:= proc(n) option remember; unapply (add (b(k)*x^k/k!, k=1..n), x) end: a:= n-> coeff (series (exp(B(n+1)(x)), x=0, n+2) , x, n+1)*(n+1)!: seq (a(n), n=0..20); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 22 2008]
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CROSSREFS
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Cf. A000081.
Sequence in context: A049526 A093793 A087959 this_sequence A130907 A054096 A006183
Adjacent sequences: A006868 A006869 A006870 this_sequence A006872 A006873 A006874
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KEYWORD
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nonn
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AUTHOR
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njas
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