%I #17 Jan 02 2023 15:25:24

%S 1,1,2,6,26,119,626,3495,20688,127339,810418,5293790,35351571,

%T 240478715,1662071181,11646620758,82601643511,592110678762,

%U 4284830131865,31271691087861,229980550743717,1703097703162249,12691879796699486,95129358337729084,716801612475691847

%N Number of unlabeled trees covering 2n nodes, n+1 of which are leaves.

%H Andrew Howroyd, <a href="/A358107/b358107.txt">Table of n, a(n) for n = 1..100</a>

%H Gus Wiseman, <a href="/A358107/a358107_1.png">The a(4) = 6 trees covering 8 nodes, 5 of which are leaves</a>.

%Y Central column of A055290.

%Y The labeled version is the central column of A055314.

%Y For n leaves we have A359398.

%Y A000272 counts trees, bisection A163395, unlabeled A000055.

%Y A001187 counts connected graphs, unlabeled A001349.

%Y A006125 counts graphs, unlabeled A000088.

%Y A006129 counts covering graphs, unlabeled A002494.

%Y A014068 counts graphs with n vertices and n-1 edges, unordered A001433.

%Y Cf. A185650, A358732.

%K nonn

%O 1,3

%A _Gus Wiseman_, Dec 02 2022

%E Terms a(11) and beyond from _Andrew Howroyd_, Jan 01 2023