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A006184 Number of cycles in the complement of a path.
(Formerly M3100)
3
0, 0, 0, 0, 0, 3, 23, 153, 1077, 8490, 75234, 742710, 8084990, 96192405, 1241588865, 17277139383, 257810397243, 4106342523108, 69531388662932, 1247182219179900, 23622547999002444, 471129863595453495, 9868783491120925755, 216617163296681315685, 4971829898824570284305, 119096935551493905531438, 2972224576868227286710038, 77153543251103295197353938 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Number of cycles in K_n - P_n. - Sean A. Irvine, Jan 17 2017

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..27.

F. C. Holroyd and W. J. G. Wingate, Cycles in the complement of a tree or other graph, Discrete Math., 55 (1985), 267-282.

Eric Weisstein's World of Mathematics, Graph Cycle

Eric Weisstein's World of Mathematics, Path Complement Graph

CROSSREFS

Sequence in context: A079755 A197176 A264461 * A209011 A164536 A037789

Adjacent sequences:  A006181 A006182 A006183 * A006185 A006186 A006187

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane.

EXTENSIONS

a(0)-a(3) prepended, a(4) corrected, and more terms from Sean A. Irvine, Jan 17 2017

STATUS

approved

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Last modified April 21 01:22 EDT 2018. Contains 302828 sequences. (Running on oeis4.)