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A092088 Number of spanning trees with degrees 1 and 3 in K_5 X P_2n. 0
1320, 8872800, 57159820320, 368270723329920, 2372720981421121920, 15287133546258050856960, 98493019073706019959014400 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

F. Faase, Counting Hamilton cycles in product graphs

F. Faase, Counting Hamilton cycles in product graphs

F. Faase, Results from the counting program

FORMULA

If b(n) denotes the number of spanning trees with degrees 1 and 3 in P_5 X P_n we have:

b(1) = 0,

b(2) = 1320,

b(3) = 0,

b(4) = 8872800,

b(5) = 0,

b(6) = 57159820320,

b(7) = 0,

b(8) = 368270723329920,

b(9) = 0,

b(10) = 2372720981421121920,

b(11) = 0,

b(12) = 15287133546258050856960,

b(13) = 0,

b(14) = 98493019073706019959014400, and

b(n) = 6288b(n-2) + 990168b(n-4) + 49284576b(n-6) - 334385280b(n-8) - 782880768b(n-10) - 34504704b(n-12).

CROSSREFS

Sequence in context: A185464 A161586 A013641 * A068302 A139666 A186469

Adjacent sequences:  A092085 A092086 A092087 * A092089 A092090 A092091

KEYWORD

nonn,more

AUTHOR

Ralf Stephan, Mar 28 2004

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 16 01:56 EST 2012. Contains 205860 sequences.