Matches in DBpedia 2015-10 for { ?s ?p "This seems to be an error, the number of plane trees with ten vertices and the number of handshakes should both be the ninth Catalan number. OEIS http://oeis.org/A000108 for the Catalan numbers has both of these ideas listed, "Ways of joining 2n points on a circle to form n nonintersecting chords." so 18 points is ninth Catalan # and "a is the number of ordered rooted trees with n nodes, not including the root." so again, 10 roots is Catalan . And this number is 4862, not 280."@en }
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- 280_(number) reason "This seems to be an error, the number of plane trees with ten vertices and the number of handshakes should both be the ninth Catalan number. OEIS http://oeis.org/A000108 for the Catalan numbers has both of these ideas listed, "Ways of joining 2n points on a circle to form n nonintersecting chords." so 18 points is ninth Catalan # and "a is the number of ordered rooted trees with n nodes, not including the root." so again, 10 roots is Catalan . And this number is 4862, not 280.".