|
%I #26 May 24 2019 02:02:16
%S 1,11,67,503,3939,31111,246163,1948503,15424707,122107175,966645747,
%T 7652334327,60578794275,479564842183,3796418256467,30053895424663,
%U 237918103255427,1883450483360871,14910112659965107,118034140795537975,934403294669416419,7397093003809879047
%N Number of non-attacking king positions on a cylindrical 3 X 2n chessboard.
%H Ray Chandler, <a href="/A287169/b287169.txt">Table of n, a(n) for n = 0..1000</a>
%H Richard M. Low and Ardak Kapbasov, <a href="https://www.emis.de/journals/JIS/VOL20/Low/low2.html">Non-Attacking Bishop and King Positions on Regular and Cylindrical Chessboards</a>, Journal of Integer Sequences, Vol. 20 (2017), Article 17.6.1, Table 15.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (11, -27, 21, -4).
%F 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]
%t 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 *)
%Y Cf. A287120, A287168.
%K nonn
%O 0,2
%A _Richard M. Low_, May 21 2017
|
