%I #8 Mar 13 2021 20:35:02
%S 1,3,20,140,1089,8796,72204,596906,4958736,41365110,346477770,
%T 2914165157,24612003577,208711039484,1776879432103,15185140895506,
%U 130242884479498,1120949733518971,9679158242220797,83836374509942511,728279201686023394,6344019713842496995
%N Number of unrooted 3-connected triangulations of a hexagon with n interior nodes.
%H Andrew Howroyd, <a href="/A342055/b342055.txt">Table of n, a(n) for n = 1..500</a>
%Y Column k=6 of A342053.
%Y Cf. A341926.
%K nonn
%O 1,2
%A _Andrew Howroyd_, Feb 26 2021