Mr. Sloane is a man that likes to draw trees with dots.
Give him two dots and he'll draw you one tree, but give him three and he'll draw you no tree.
How many trees can he draw with 6 dots? and with 11 dots?
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Here are some possible answers. They all
allow us to take "Mr Sloane" to be N J A Sloane, creator of the Online Encyclopedia of Integer Sequences, "trees" to have its graph-theoretic sense, and "dots" to refer to the vertices of the trees.
Mr Sloane likes to draw series-reduced planted trees, sequence A001678. In this case the numbers we need are 2 and 35 respectively.
Second and simpler:
Mr Sloane likes to draw series-reduced trees, sequence A000014. In this case the numbers we need are 2 and 14 respectively.
Mr Sloane likes to draw trimmed trees, sequence A002988. In this case the numbers we need are 2 and 39 respectively.
Unless the intended answer fits the given statement markedly better than all of these (or is one of these and fits markedly better than the other two for some reason), I think we need some further information if the puzzle is to have a definite correct answer.