A189186 - OEIS

%I #9 Aug 24 2024 15:44:34

%S 0,1,1,0,9,0,1,33,33,1,0,185,192,185,0,1,913,4081,4081,913,1,0,4777,

%T 47936,251720,47936,4777,0,1,24577,733465,10599449,10599449,733465,

%U 24577,1,0,127385,9925824,524539713,1339732352,524539713,9925824,127385,0,1

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

%C Table starts

%C .0.......1...........0................1.....................0

%C .1.......9..........33..............185...................913

%C .0......33.........192.............4081.................47936

%C .1.....185........4081...........251720..............10599449

%C .0.....913.......47936.........10599449............1339732352

%C .1....4777......733465........524539713..........212852911361

%C .0...24577.....9925824......24377674329........30863909708032

%C .1..127385...142150545....1162453545201......4646631858824169

%C .0..658801..1982789568...54868164490816....689003645197185280

%C .1.3410313.27997733409.2600517767888745.102804050401764094481

%H R. H. Hardin, <a href="/A189186/b189186.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for 5X3

%e ..3..2..1....3..5..4....1..3..4....1..0..5....4..0..1....3..2..1....3..0..5

%e ..0..5..8....0..1..2....0..8..2....7..3..2....6..5..2....0..8..7....6..1..2

%e ..9..6..4...10..6..7...10..6..5....4..9.11....9..3..7....4..9..5....7..8..4

%e .13.14..7...13..8.14....7.11.14....6.14..8...10..8.14....6.14.13...10.12.13

%e .10.12.11....9.12.11....9.12.13...10.12.13...13.12.11...10.12.11....9.14.11

%Y Cf. A189355.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Apr 18 2011