login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007021 Number of 4-connected simplicial polyhedra with n nodes.
(Formerly M1214)
9
1, 1, 1, 1, 1, 2, 4, 10, 25, 87, 313, 1357, 6244, 30926, 158428, 836749, 4504607, 24649284, 136610879, 765598927, 4332047595, 24724362117, 142205424580, 823687567019, 4801749063379 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,6
COMMENTS
Also the number of 4-connected triangulations on n vertices. - Manfred Scheucher, Mar 17 2023
REFERENCES
M. B. Dillencourt, Polyhedra of small orders and their Hamiltonian properties. Tech. Rep. 92-91, Info. and Comp. Sci. Dept., Univ. Calif. Irvine, 1992.
H. Heesch, Ein zum Vierfarbensatz aquivalenter Satz der Panisochromie [ A theorem of panisochromaticity equivalent to the four color theorem ], pp. 229-253 of Graph Theory in Memory of G. A. Dirac (Sandbjerg, 1985). Edited by L. D. Andersen et al., Annals of Discrete Mathematics, 41. North-Holland Publishing Co., Amsterdam-New York, 1989.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Gunnar Brinkmann and Brendan McKay, Guide to using plantri
Gunnar Brinkmann and Brendan McKay, Guide to using plantri [Cached copy, with permission]
S. Butler et al., Irreducible Apollonian configurations and packings, Discrete and Computational Geometry, 44 (2010), 487-507.
CombOS - Combinatorial Object Server, generate planar graphs
Paul Jungeblut, Edge Guarding Plane Graphs, Master Thesis, Karlsruhe Institute of Technology (Germany, 2019).
Irene Pivotto and Gordon Royle, Highly-connected planar cubic graphs with few or many Hamilton cycles, arXiv:1901.10683 [math.CO], 2019.
Manfred Scheucher, Hendrik Schrezenmaier, and Raphael Steiner, A Note On Universal Point Sets for Planar Graphs, arXiv:1811.06482 [math.CO], 2018.
CROSSREFS
Sequence in context: A085633 A111564 A350507 * A100605 A247395 A183947
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms generated with plantri by Moritz Firsching, Aug 20 2015
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 06:58 EDT 2024. Contains 371906 sequences. (Running on oeis4.)