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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A003734 Number of spanning trees with degrees 1 and 3 in C_5 X P_2n. 0
0, 260, 27420, 2504560, 223723080, 19923617840, 1773563554900, 157870122686600, 14052371971981100, 1250831588811052320, 111339169110472830220, 9910535055491682625400, 882157695038695625086700, 78522722964255506997330800, 6989473714324564174042717340 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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..15.

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

Index entries for sequences related to trees

FORMULA

Faase gives a 12-term linear recurrence on his web page:

If b(n) denotes the number of spanning trees with degrees 1 and 3 in C_5 X P_n we have:

b(1) = 0,

b(2) = 0,

b(3) = 0,

b(4) = 260,

b(5) = 0,

b(6) = 27420,

b(7) = 0,

b(8) = 2504560,

b(9) = 0,

b(10) = 223723080,

b(11) = 0,

b(12) = 19923617840,

b(13) = 0,

b(14) = 1773563554900,

b(15) = 0,

b(16) = 157870122686600,

b(17) = 0,

b(18) = 14052371971981100,

b(19) = 0,

b(20) = 1250831588811052320,

b(21) = 0,

b(22) = 111339169110472830220,

b(23) = 0,

b(24) = 9910535055491682625400,

b(25) = 0,

b(26) = 882157695038695625086700, and

b(n) = 98b(n-2) - 745b(n-4) - 4916b(n-6) - 234b(n-8) + 160624b(n-10)

- 26648b(n-12) + 338976b(n-14) - 1265216b(n-16) - 2291392b(n-18) - 1695488b(n-20)

- 307200b(n-22) + 32768b(n-24).

CROSSREFS

Sequence in context: A168187 A067639 A264162 * A216940 A200578 A200808

Adjacent sequences:  A003731 A003732 A003733 * A003735 A003736 A003737

KEYWORD

nonn

AUTHOR

Frans J. Faase

EXTENSIONS

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

More terms from Sean A. Irvine, Jul 29 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 | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 3 21:14 EST 2016. Contains 278745 sequences.