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A000553
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Number of labeled rooted trees of height 4 with n nodes.
(Formerly M5378 N2335)
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0
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120, 2520, 43680, 757680, 13747104, 264181680, 5395040640, 117080049240, 2696387899920, 65774992411128, 1695845836077120, 46110625382246880, 1319345179723609920, 39640903618873667040, 1248193457738661143808
(list; graph; refs; listen; history; internal format)
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OFFSET
| 5,1
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REFERENCES
| J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index entries for sequences related to rooted trees
Index entries for sequences related to trees
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FORMULA
| E.g.f.: x*(exp(x*exp(x*exp(x*exp(x))))-exp(x*exp(x*exp(x)))). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 29 2008
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MAPLE
| ht := proc(m) local i; [ T0, {seq(T.i=Prod(Z, Set(T.(i+1))), i=0..m-1), T.m=Z}, labeled ] end: M[ 5378 ] := n -> count(ht(4), size=n)-count(ht(3), size=n): seq(M[ 5378 ](n), n=5..19);
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CROSSREFS
| Sequence in context: A166779 A038745 A032180 * A126232 A105943 A052721
Adjacent sequences: A000550 A000551 A000552 * A000554 A000555 A000556
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from P Zimmermann Mar 15 1996
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