A195654 - OEIS

%I #17 Aug 28 2024 13:04:28

%S 11264,48132,251126,1473764,9434784,64923594,476033636,3694894500,

%T 30179587994,257860425672,2290966142762,21042965606234,

%U 198765197377402,1921681775292272,18940490557328616,189679152583318596,1924757095250611458,19746535064318923758

%N Number of ways to place 10n nonattacking kings on a 20 X 2n cylindrical chessboard.

%C This cylinder is horizontal: a chessboard where it is supposed that rows 1 and 2n are in contact (number of columns = 20, number of rows = 2n).

%H Alex V. Breger, <a href="/A195654/b195654.txt">Table of n, a(n) for n = 1..500</a>

%H Artem M. Karavaev, <a href="http://zealint.ru/koroli-na-cilindricheskoj-doske-predlozhenie.html">Zealint blog</a> (in Russian)

%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>

%H Vaclav Kotesovec, <a href="/A195654/a195654_1.txt">Generating function</a>

%H <a href="/index/Rec#order_916">Index entries for linear recurrences with constant coefficients</a>, order 916.

%F Recurrence order is 916.

%Y Cf. A137432, A195653, A195649, A195659.

%K nonn

%O 1,1

%A _Vaclav Kotesovec_, Sep 22 2011