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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 (list; graph; refs; listen; history; 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

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

F. Faase, Counting Hamilton cycles in product graphs

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: A108109 A168187 A067639 * A200578 A200808 A045026

Adjacent sequences:  A003731 A003732 A003733 * A003735 A003736 A003737

KEYWORD

nonn

AUTHOR

Frans Faase (Frans_LiXia(AT)wxs.nl)

EXTENSIONS

Added recurrence from Faase's web page. - N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.