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A189180 Number of nX3 array permutations with each element making a single king move.

%I A189180 #7 Jul 22 2025 11:35:37
%S A189180 0,33,192,4081,47936,733465,9925824,142150545,1982789568,27997733409,
%T A189180 393091648000,5533702536417,77804055183232,1094555504869945,
%U A189180 15394211168981632,216536449010819041,3045646510935265408
%N A189180 Number of nX3 array permutations with each element making a single king move.
%C A189180 Column 3 of A189186
%H A189180 R. H. Hardin, <a href="/A189180/b189180.txt">Table of n, a(n) for n = 1..200</a>
%F A189180 Empirical: a(n) = 8*a(n-1) +94*a(n-2) -88*a(n-3) -488*a(n-4) +152*a(n-5) -638*a(n-6) -72*a(n-7) +9*a(n-8)
%e A189180 Some solutions for 4X3
%e A189180 ..3..0..5....4..2..1....3..5..1....3..2..5....1..3..5....3..2..5....3..2..5
%e A189180 ..1..6..2....0..3..8....6..0..2....4..0..1....0..6..2....0..1..8....4..0..1
%e A189180 ..9..4.11....9..5.11...10..4.11....7..9.11....9.11..4....9..6..4....9.10..7
%e A189180 .10..7..8...10..6..7....7..9..8....6..8.10....7..8.10...10.11..7....6.11..8
%K A189180 nonn
%O A189180 1,2
%A A189180 _R. H. Hardin_ Apr 18 2011