cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A361578 Number of 5-connected polyhedra (or 5-connected simple planar graphs) with n nodes.

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%I A361578 #16 Jul 23 2025 16:04:20
%S A361578 1,0,1,1,5,8,30,85,382,1550,7352
%N A361578 Number of 5-connected polyhedra (or 5-connected simple planar graphs) with n nodes.
%C A361578 The icosahedral graph is the smallest 5-connected planar graph.
%D A361578 M. Kirchweger, M. Scheucher, and S. Szeider, SAT-Based Generation of Planar Graphs, in preparation.
%H A361578 <a href="https://math.stackexchange.com/questions/929971/what-is-the-smallest-5-vertex-connected-5-edge-connected-planar-graph">Mathematics Stack Exchange -- What is the smallest 5-vertex-connected (5-edge-connected) planar graph?</a>
%Y A361578 Cf. A086216, A005470, A003094, A021103, A000944, A007027.
%Y A361578 Cf. A049373 (planar graphs with minimum degree~5) and A111358 (5-connected planar trianguations)
%K A361578 nonn,hard,more
%O A361578 12,5
%A A361578 _Manfred Scheucher_, Mar 16 2023