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 A287169 Number of non-attacking king positions on a cylindrical 3 X 2n chessboard. 3
 1, 11, 67, 503, 3939, 31111, 246163, 1948503, 15424707, 122107175, 966645747, 7652334327, 60578794275, 479564842183, 3796418256467, 30053895424663, 237918103255427, 1883450483360871, 14910112659965107, 118034140795537975, 934403294669416419, 7397093003809879047 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Ray Chandler, Table of n, a(n) for n = 0..1000 Richard M. Low and Ardak Kapbasov, Non-Attacking Bishop and King Positions on Regular and Cylindrical Chessboards, Journal of Integer Sequences, Vol. 20 (2017), Article 17.6.1, Table 15. Index entries for linear recurrences with constant coefficients, signature (11, -27, 21, -4). FORMULA G.f.: (1-27*x^2+42*x^3-12*x^4)/(1-11*x+27*x^2-21*x^3+4*x^4). [Corrected by Georg Fischer, May 23 2019] MATHEMATICA CoefficientList[Series[(1-27*x^2+42*x^3-12*x^4)/(1-11*x+27*x^2-21*x^3+4*x^4), {x, 0, 44}], x] (* Michael De Vlieger, May 21 2017; simplified by Georg Fischer, May 23 2019 *) CROSSREFS Cf. A287120, A287168. Sequence in context: A092841 A165673 A220511 * A120792 A228032 A145833 Adjacent sequences:  A287166 A287167 A287168 * A287170 A287171 A287172 KEYWORD nonn AUTHOR Richard M. Low, May 21 2017 STATUS approved

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Last modified September 22 05:47 EDT 2019. Contains 327287 sequences. (Running on oeis4.)