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Number of ways to place 7n nonattacking kings on a 14 x 2n chessboard.
6

%I #21 Aug 18 2024 10:50:22

%S 1,1024,114606,5392704,159636030,3544192112,64737165162,1027533353168,

%T 14677177838054,193194265398240,2383116363555182,27889602664055396,

%U 312546900470579954,3378090945290324892,35412239480510055916,361670315347336810428,3611858972942315054336,35375586671457852212944

%N Number of ways to place 7n nonattacking kings on a 14 x 2n chessboard.

%H Ray Chandler, <a href="/A174155/b174155.txt">Table of n, a(n) for n = 0..1096</a>

%H Vaclav Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Number of ways of placing non-attacking queens and kings on boards of various sizes</a>

%H Vaclav Kotesovec, <a href="/A174155/a174155.txt">G.f.</a>

%H <a href="/index/Rec#order_124">Index entries for linear recurrences with constant coefficients</a>, order 124.

%Y Column k=7 of A350819.

%Y Cf. A018807, A061594, A061593, A173782, A173783, A174154.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Mar 10 2010

%E More terms from _Jinyuan Wang_, Feb 26 2020

%E a(0)=1 prepended by _Andrew Howroyd_, Mar 26 2023