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A164919 Number of simple connected cubic nonhamiltonian graphs on 2n nodes. 1
0, 0, 0, 0, 2, 5, 35, 219, 1666, 14498, 148790, 1768732, 24029714, 366939032, 6213299362, 115388854837 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..15.

F. C. Bussemaker, S. Cobeljic, L. M. Cvetkovic and J. J. Seidel, Computer investigations of cubic graphs, T.H.-Report 76-WSK-01, Technological University Eindhoven, Dept. Mathematics, 1976 [From N. J. A. Sloane, Jan 12 2012].

Jan Goedgebeur, Barbara Meersman, Carol T. Zamfirescu, Graphs with few Hamiltonian Cycles, arXiv:1812.05650 [math.CO], 2018.

R. J. Mathar, The Wigner 3n-j Graphs up to 12 Vertices, arXiv:1109.2358, 2011

Eric Weisstein's World of Mathematics, Cubic Nonhamiltonian Graph

CROSSREFS

Sequence in context: A000665 A058882 A000659 * A272678 A063443 A133473

Adjacent sequences:  A164916 A164917 A164918 * A164920 A164921 A164922

KEYWORD

nonn,more,changed

AUTHOR

Eric W. Weisstein, Aug 31 2009

EXTENSIONS

Two more values (subtracting A002851 and A001186) from R. J. Mathar, Sep 22 2010

a(11)-a(15) added by Jan Goedgebeur, Sep 07 2019

STATUS

approved

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Last modified September 15 08:37 EDT 2019. Contains 327062 sequences. (Running on oeis4.)