login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001852 Total diameter of labeled trees with n nodes.
(Formerly M4247 N1774)
1
0, 1, 6, 44, 430, 5322, 79184, 1381144, 27730602, 630422390, 16006336852, 448982630340, 13792542282974, 460632431511826, 16620059192605080, 644338908974954672, 26713929408696716242, 1179487563859389821166 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

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).

LINKS

Table of n, a(n) for n=1..18.

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

a(1) = 0, a(2) = 1, a(n) = Sum_{k=2..n-1} A034854(n,k)*k. - Sean A. Irvine, Mar 24 2016

CROSSREFS

Cf. A034854.

Sequence in context: A203159 A124996 A226045 * A194928 A267074 A271963

Adjacent sequences:  A001849 A001850 A001851 * A001853 A001854 A001855

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, Mar 24 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 30 16:53 EDT 2016. Contains 274311 sequences.