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A034854
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Triangle giving number of rooted labeled trees with n >= 3 nodes and diameter d>=2.
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0
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3, 4, 12, 5, 60, 60, 6, 210, 720, 360, 7, 630, 6090, 7560, 2520, 8, 1736, 47040, 112560, 80640, 20160, 9, 4536, 363384, 1496880, 1829520, 907200, 181440, 10, 11430, 2913120, 19207440, 36892800, 28274400, 10886400, 1814400
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478.
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LINKS
| J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478.
Index entries for sequences related to trees
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FORMULA
| Reference gives recurrence.
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EXAMPLE
| 3; 4 12; 5 60 60; 6 210 720 360; 7 630 6090 7560 2520; ...
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CROSSREFS
| Sequence in context: A045826 A084200 A097850 * A164982 A081837 A196440
Adjacent sequences: A034851 A034852 A034853 * A034855 A034856 A034857
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KEYWORD
| nonn,tabl,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Pab Ter (pabrlos(AT)yahoo.com), May 27 2004
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