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

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A003760 Number of Hamiltonian paths in D_4 X P_n. 0
2, 40, 240, 1558, 8300, 43438, 212700, 1014700, 4691580, 21257258, 94520524, 414149254, 1791339472, 7664373014, 32481662616, 136520499746, 569599125312, 2361080470268, 9730117780704, 39888323454064 (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..20.

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(1) = 2,

a(2) = 40,

a(3) = 240,

a(4) = 1558,

a(5) = 8300,

a(6) = 43438,

a(7) = 212700,

a(8) = 1014700,

a(9) = 4691580,

a(10) = 21257258,

a(11) = 94520524,

a(12) = 414149254,

a(13) = 1791339472,

a(14) = 7664373014,

a(15) = 32481662616,

a(16) = 136520499746,

a(17) = 569599125312,

a(18) = 2361080470268 and

a(n) = 11a(n-1) - 34a(n-2) - 22a(n-3) + 266a(n-4) - 270a(n-5) - 454a(n-6) + 986a(n-7) - 247a(n-8) - 887a(n-9) + 1013a(n-10) - 259a(n-11) - 353a(n-12) + 417a(n-13) - 225a(n-14) + 71a(n-15) - 13a(n-16) + a(n-17).

CROSSREFS

Sequence in context: A213909 A073418 A012477 * A228240 A155977 A092698

Adjacent sequences:  A003757 A003758 A003759 * A003761 A003762 A003763

KEYWORD

nonn

AUTHOR

Frans J. Faase

EXTENSIONS

Added recurrence from Faase's web page. - N. J. A. Sloane, Feb 03 2009

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified November 24 19:32 EST 2014. Contains 249909 sequences.