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A221925 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.

%I A221925 #6 Jul 23 2025 02:19:54
%S A221925 1,3,3,6,35,6,13,350,350,13,28,3487,13228,3487,28,60,34714,508281,
%T A221925 508281,34714,60,129,345744,19513309,75313013,19513309,345744,129,277,
%U A221925 3443699,749481703,11143187999,11143187999,749481703,3443699,277,595,34300167
%N A221925 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 A221925 Table starts
%C A221925 ...1.......3.........6..........13..........28............60.........129
%C A221925 ...3......35.......350........3487.......34714........345744.....3443699
%C A221925 ...6.....350.....13228......508281....19513309.....749481703.28788205897
%C A221925 ..13....3487....508281....75313013.11143187999.1648683705320
%C A221925 ..28...34714..19513309.11143187999
%C A221925 ..60..345744.749481703
%C A221925 .129.3443699
%C A221925 .277
%H A221925 R. H. Hardin, <a href="/A221925/b221925.txt">Table of n, a(n) for n = 1..40</a>
%e A221925 Some solutions for n=3 k=4
%e A221925 ..0..1..2..0....0..0..2..0....0..3..0..2....0..3..0..1....0..0..0..2
%e A221925 ..0..3..0..0....3..0..0..1....0..3..2..0....0..2..0..4....0..3..1..1
%e A221925 ..2..1..0..3....0..1..4..1....0..0..0..2....1..0..0..1....0..3..2..0
%Y A221925 Column 1 is A002478
%K A221925 nonn,tabl
%O A221925 1,2
%A A221925 _R. H. Hardin_ Jan 31 2013