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A226594
Number of distinct characteristic polynomials of trees with n nodes.
0
1, 1, 1, 1, 2, 3, 6, 11, 22, 42, 102, 204, 488, 1078, 2723, 6403, 16479, 40313, 106135, 271295, 724455
OFFSET
0,5
REFERENCES
D. M. Cvetković, M. Doob and H. Sachs, Spectra of graphs. Theory and applications, Johann Ambrosius Barth, Heidelberg, 1995.
PROG
(Sage) [len(Set([t.charpoly() for t in graphs.trees(n)])) for n in range(14)]
CROSSREFS
Cf. A000055.
Sequence in context: A002083 A124973 A318123 * A043327 A247968 A005578
KEYWORD
nonn,more
AUTHOR
F. Chapoton, Jun 13 2013
EXTENSIONS
a(0) = 1 added by Peter Luschny, Mar 01 2020
a(17)-a(20) from F. Chapoton, Mar 02 2020
STATUS
approved