LINKS
F. Faase, <a href="http://www.iwriteiam.nl/counting.html">Counting Hamilton Hamiltonian cycles in product graphs</a>
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Revision History for A003729
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Number of perfect matchings (or domino tilings) in graph C_{5} X P_{2n}.
(history; published version)
(history; published version)
STATUS
editing
approved
LINKS
<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (19, -41, 19, -1).
STATUS
approved
editing
STATUS
editing
approved
LINKS
F. Faase, <a href="http://home.wxs.nl/~faase009/counting.html">Counting Hamilton cycles in product graphs</a>
KEYWORD
nonn,easy
EXTENSIONS
More terms from Per H. Lundow
STATUS
approved
editing
MATHEMATICA
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] (* From _Harvey P. Dale, _, Jul 16 2011 *)
AUTHOR
Frans Faase (Frans_LiXia(AT)wxs.nl)
EXTENSIONS
More terms from _Per Hakan H. Lundow (phl(AT)theophys.kth.se)_
FORMULA
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 (mathar(AT)strw.leidenuniv.nl), _, Mar 11 2010]
STATUS
editing
approved