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A378334 Number of n-node connected sensed planar maps with an external face, whose internal faces are triangles and which is rooted at a node on the external face.

%I A378334 #8 Nov 25 2024 16:29:23
%S A378334 1,3,16,88,537,3473,23562,165859,1202919,8941118,67836666,523722889,
%T A378334 4104244351,32583588994,261635413752,2122002356439,17364496928654,
%U A378334 143230857011191,1189928600338968,9949848535116510,83688384576105358,707689149415139246,6013842677410501394
%N A378334 Number of n-node connected sensed planar maps with an external face, whose internal faces are triangles and which is rooted at a node on the external face.
%H A378334 Andrew Howroyd, <a href="/A378334/b378334.txt">Table of n, a(n) for n = 3..200</a>
%e A378334 The a(4) = 3 rooted planar maps are:
%e A378334     R---o    R---o      R-----o
%e A378334     | \ |    | / |      | \ / |
%e A378334     o---o    o---o       \ o /
%e A378334                           \|/
%e A378334                            o
%o A378334 (PARI) A378334seq(25) \\ See PARI link in A378340 for program code
%Y A378334 Cf. A377785, A378335, A378339, A378340.
%K A378334 nonn
%O A378334 3,2
%A A378334 _Andrew Howroyd_, Nov 23 2024