A221925 - OEIS

%I #4 Jan 31 2013 18:16:40

%S 1,3,3,6,35,6,13,350,350,13,28,3487,13228,3487,28,60,34714,508281,

%T 508281,34714,60,129,345744,19513309,75313013,19513309,345744,129,277,

%U 3443699,749481703,11143187999,11143187999,749481703,3443699,277,595,34300167

%N T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some king-move neighbor, without move-in move-out straight through or left turns

%C Table starts

%C ...1.......3.........6..........13..........28............60.........129

%C ...3......35.......350........3487.......34714........345744.....3443699

%C ...6.....350.....13228......508281....19513309.....749481703.28788205897

%C ..13....3487....508281....75313013.11143187999.1648683705320

%C ..28...34714..19513309.11143187999

%C ..60..345744.749481703

%C .129.3443699

%C .277

%H R. H. Hardin, <a href="/A221925/b221925.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3 k=4

%e ..0..1..2..0....0..0..2..0....0..3..0..2....0..3..0..1....0..0..0..2

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

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

%Y Column 1 is A002478

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 31 2013