A358107 Number of unlabeled trees covering 2n nodes, n+1 of which are leaves.

1, 1, 2, 6, 26, 119, 626, 3495, 20688, 127339, 810418, 5293790, 35351571, 240478715, 1662071181, 11646620758, 82601643511, 592110678762, 4284830131865, 31271691087861, 229980550743717, 1703097703162249, 12691879796699486, 95129358337729084, 716801612475691847

Offset: 1

Author

Gus Wiseman, Dec 02 2022

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..100
• Gus Wiseman, The a(4) = 6 trees covering 8 nodes, 5 of which are leaves.

Crossrefs

Central column of A055290.

The labeled version is the central column of A055314.

For n leaves we have A359398.

A000272 counts trees, bisection A163395, unlabeled A000055.

A001187 counts connected graphs, unlabeled A001349.

A006125 counts graphs, unlabeled A000088.

A006129 counts covering graphs, unlabeled A002494.

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

Cf. A185650, A358732.

Extensions

Terms a(11) and beyond from Andrew Howroyd, Jan 01 2023