

A126133


Number of edgerooted unlabeled graphs with n edges.


2



1, 2, 7, 21, 66, 210, 699, 2387, 8492, 31329, 120034, 477028, 1965016, 8377888, 36923184, 167972182, 787688821, 3802526173, 18873118341, 96195592212, 502953711022, 2694740822749, 14781176429303, 82931707378322
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


REFERENCES

F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 1973.


LINKS

Max Alekseyev, Table of n, a(n) for n = 1..40


EXAMPLE

a(3)=7: the triangular graph with one edge rooted. The disconnected graph of the connected linear graph with 3 nodes aside the connected graph with 2 nodes, 2 choices for the root. The three disconnected graphs with 3 graphs on 2 nodes, one of the three with the root. The connected star graph with one edge rooted. The connected linear graph with four nodes, 2 choices for the root.  R. J. Mathar, May 03 2018


CROSSREFS

Cf. A000664, A126122, A303832 (connected).
Sequence in context: A037520 A218836 A052911 * A186240 A274203 A220726
Adjacent sequences: A126130 A126131 A126132 * A126134 A126135 A126136


KEYWORD

nonn


AUTHOR

Vladeta Jovovic, Mar 07 2007


EXTENSIONS

Terms a(10) onward from Max Alekseyev, May 03 2018


STATUS

approved



