login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A003771 Number of Hamilton cycles in K_4 X P_n. 1
3, 30, 198, 1326, 8886, 59550, 399078, 2674446, 17922966, 120111870, 804937158, 5394336366, 36150480246, 242264688990, 1623551862438, 10880333659086, 72915231888726, 488645955902910, 3274691227542918 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.

LINKS

Table of n, a(n) for n=1..19.

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.

F. Faase, Counting Hamilton cycles in product graphs

F. Faase, Results from the counting program

FORMULA

a(n) = 7a(n-1) - 2a(n-2), n>3.

G.f.: 3x(1+3x-2x^2)/(1-7x+2x^2). [From R. J. Mathar, Dec 16 2008]

CROSSREFS

Sequence in context: A177727 A132413 A032263 * A121100 A203366 A130546

Adjacent sequences:  A003768 A003769 A003770 * A003772 A003773 A003774

KEYWORD

nonn,easy

AUTHOR

Frans J. Faase

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 12 13:36 EST 2018. Contains 317109 sequences. (Running on oeis4.)