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A189186 T(n,k) = Number of n X k array permutations with each element making a single king move.

%I A189186 #9 Aug 24 2024 15:44:34
%S A189186 0,1,1,0,9,0,1,33,33,1,0,185,192,185,0,1,913,4081,4081,913,1,0,4777,
%T A189186 47936,251720,47936,4777,0,1,24577,733465,10599449,10599449,733465,
%U A189186 24577,1,0,127385,9925824,524539713,1339732352,524539713,9925824,127385,0,1
%N A189186 T(n,k) = Number of n X k array permutations with each element making a single king move.
%C A189186 Table starts
%C A189186 .0.......1...........0................1.....................0
%C A189186 .1.......9..........33..............185...................913
%C A189186 .0......33.........192.............4081.................47936
%C A189186 .1.....185........4081...........251720..............10599449
%C A189186 .0.....913.......47936.........10599449............1339732352
%C A189186 .1....4777......733465........524539713..........212852911361
%C A189186 .0...24577.....9925824......24377674329........30863909708032
%C A189186 .1..127385...142150545....1162453545201......4646631858824169
%C A189186 .0..658801..1982789568...54868164490816....689003645197185280
%C A189186 .1.3410313.27997733409.2600517767888745.102804050401764094481
%H A189186 R. H. Hardin, <a href="/A189186/b189186.txt">Table of n, a(n) for n = 1..144</a>
%e A189186 Some solutions for 5X3
%e A189186 ..3..2..1....3..5..4....1..3..4....1..0..5....4..0..1....3..2..1....3..0..5
%e A189186 ..0..5..8....0..1..2....0..8..2....7..3..2....6..5..2....0..8..7....6..1..2
%e A189186 ..9..6..4...10..6..7...10..6..5....4..9.11....9..3..7....4..9..5....7..8..4
%e A189186 .13.14..7...13..8.14....7.11.14....6.14..8...10..8.14....6.14.13...10.12.13
%e A189186 .10.12.11....9.12.11....9.12.13...10.12.13...13.12.11...10.12.11....9.14.11
%Y A189186 Cf. A189355.
%K A189186 nonn,tabl
%O A189186 1,5
%A A189186 _R. H. Hardin_, Apr 18 2011