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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, 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
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.
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
KEYWORD
nonn
AUTHOR
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

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Last modified March 4 12:07 EST 2024. Contains 370532 sequences. (Running on oeis4.)