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A071212
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Number of labeled cyclic trees with n nodes such that the root is smaller than all its children.
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0
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1, 4, 28, 286, 3848, 64198, 1277400, 29507784, 775826832, 22869156168, 746817076080, 26758697374176, 1043610018593088, 44007103062886416, 1994973101346054144, 96747604119630501120, 4997654990315699224320
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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REFERENCES
| C. Chauve, S. Dulucq and O. Guibert, Enumeration of some labeled trees, research report RR-1226-99, LaBRI, Bordeaux I University, 1999.
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MAPLE
| n -> sum((n! / (n-k)!) * (-1)^(n-1-k) * stirling1(n-1, k), k=0..n) - sum(((n-2)! / (n-1-k)!) * (-1)^(n-k) * stirling1(n, k), k=0..n-1);
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CROSSREFS
| Cf. A000312.
Sequence in context: A178599 A007559 A138208 * A090353 A201595 A076729
Adjacent sequences: A071209 A071210 A071211 * A071213 A071214 A071215
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KEYWORD
| easy,nonn
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AUTHOR
| Cedric Chauve (chauve(AT)lacim.uqam.ca), May 16 2002
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