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A034854 Triangle giving number of rooted labeled trees with n >= 3 nodes and diameter d>=2. +0
1
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; listen)
OFFSET

0,1

REFERENCES

J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478.

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

FORMULA

Reference gives recurrence.

EXAMPLE

3; 4 12; 5 60 60; 6 210 720 360; 7 630 6090 7560 2520; ...

CROSSREFS

Sequence in context: A045826 A084200 A097850 this_sequence A164982 A081837 A101404

Adjacent sequences: A034851 A034852 A034853 this_sequence A034855 A034856 A034857

KEYWORD

nonn,tabl,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Pab Ter (pabrlos(AT)yahoo.com), May 27 2004

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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