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Sep 22, 2015 at 4:01 comment added Max Alekseyev I've edited the question to clarify that. Also, I confirm your conjecture for $m\leq 50$ -- see oeis.org/A262395
Sep 21, 2015 at 16:55 history edited Max Alekseyev
+combinatorics tag
Sep 21, 2015 at 15:42 history edited Max Alekseyev CC BY-SA 3.0
explained what is $T(x,y)$
Sep 19, 2015 at 23:55 comment added user2052 yes - sorry it was unclear
Sep 16, 2015 at 13:40 comment added Max Alekseyev My guess is that the coefficient of $x^my^n$ in $T(x,y)$ accounts for trees with $m$ vertices and $n$ endpoints.
Sep 16, 2015 at 1:35 answer added Brendan McKay timeline score: 4
Sep 15, 2015 at 22:04 history asked user2052 CC BY-SA 3.0