1,1

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.

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.

P. Raff, Spanning Trees in Grid Graphs. [From Paul Raff (praff(AT)math.rutgers.edu), Mar 06 2009]

P. Raff, Analysis of the Number of Spanning Trees of (K_4 - e) x P_n. Contains sequence, recurrence, generating function, and more. [From Paul Raff (praff(AT)math.rutgers.edu), Mar 06 2009]

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

Faase gives a 6-term linear recurrence on his web page:

a(1) = 8,

a(2) = 1152,

a(3) = 147000,

a(4) = 18643968,

a(5) = 2363741512,

a(6) = 299675376000 and

a(n) = 140a(n-1) - 1715a(n-2) + 4952a(n-3) - 1715a(n-4) + 140a(n-5) - a(n-6).

G.f.: 8x(1+4x-70x^2+4x^3+x^4)/((x^2-4x+1)(x^4-136x^3+1170x^2-136x+1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 16 2008]

a(n)=8*A001353(n)*A001110(n). [R. Guy, seqfan list, Mar 28 2009] [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 03 2009]

Sequence in context: A004808 A047943 A089672 this_sequence A117084 A160008 A027668

Adjacent sequences: A003764 A003765 A003766 this_sequence A003768 A003769 A003770

nonn

Frans Faase (Frans_LiXia(AT)wxs.nl)

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

Title corrected by Paul Raff (praff(AT)math.rutgers.edu), Mar 06 2009