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A034855 Triangle giving number of rooted labeled trees with n >= 2 nodes and height d>=1. +0
2
2, 3, 6, 4, 36, 24, 5, 200, 300, 120, 6, 1170, 3360, 2520, 720, 7, 7392, 38850, 43680, 22680, 5040, 8, 50568, 475776, 757680, 551040, 221760, 40320, 9, 372528, 6231960, 13747104, 12836880, 7136640, 2358720, 362880, 10, 2936070, 87530400, 264181680 (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

Index entries for sequences related to trees

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

FORMULA

Reference gives recurrence.

EXAMPLE

2; 3 6; 4 36 24; 5 200 300 120; ...

CROSSREFS

Sequence in context: A137524 A096357 A091507 this_sequence A105214 A136315 A011159

Adjacent sequences: A034852 A034853 A034854 this_sequence A034856 A034857 A034858

KEYWORD

nonn,tabl,easy,nice

AUTHOR

njas

EXTENSIONS

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

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Last modified December 4 14:15 EST 2008. Contains 151279 sequences.


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