

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
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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), 473478.
Index entries for sequences related to trees


FORMULA

a(1) = 0, a(2) = 1, a(n) = Sum_{k=2..n1} 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



