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A003729
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Number of perfect matchings (or domino tilings) in graph C_{5} X P_{2n}.
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2
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11, 176, 2911, 48301, 801701, 13307111, 220880176, 3666315811, 60855946601, 1010127453401, 16766766924211, 278305942640176, 4619507031938711, 76677648402694901, 1272746577484955101, 21125893715367851311
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OFFSET
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1,1
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REFERENCES
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F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
Per Hakan Lundow, "Computation of matching polynomials and the number of 1-factors in polygraphs", Research report, No 12, 1996, Department of Math., Umea University, Sweden.
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LINKS
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Table of n, a(n) for n=1..16.
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 Hamiltonian cycles in product graphs
F. Faase, Results from the counting program
Per Hakan Lundow, Enumeration of matchings in polygraphs, 1998.
Index entries for sequences related to dominoes
Index entries for linear recurrences with constant coefficients, signature (19, -41, 19, -1).
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FORMULA
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a(n) = 19a(n-1) - 41a(n-2) + 19a(n-3) - a(n-4), n>4.
G.f. x*(11-33*x+18*x^2-x^3)/(1-19*x+41*x^2-19*x^3+x^4) . [From R. J. Mathar, Mar 11 2010]
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MATHEMATICA
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Rest[CoefficientList[Series[x (11-33x+18x^2-x^3)/(1-19x+41x^2- 19x^3+ x^4), {x, 0, 20}], x]] (* or *) LinearRecurrence[{19, -41, 19, -1}, {11, 176, 2911, 48301}, 20] (* Harvey P. Dale, Jul 16 2011 *)
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CROSSREFS
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Sequence in context: A280442 A218330 A196664 * A230388 A027398 A305970
Adjacent sequences: A003726 A003727 A003728 * A003730 A003731 A003732
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KEYWORD
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nonn,easy
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AUTHOR
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Frans J. Faase
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STATUS
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approved
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