A206797 - OEIS

%I #5 Mar 31 2012 12:37:12

%S 4,16,16,61,256,61,232,3721,3721,232,883,53824,180446,53824,883,3361,

%T 779689,8683735,8683735,779689,3361,12793,11296321,420657877,

%U 1382766472,420657877,11296321,12793,48694,163660849,20388622016,222851712982

%N T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z z+1 z in any row, column, diagonal or antidiagonal

%C Table starts

%C .....4.........16.............61................232..................883

%C ....16........256...........3721..............53824...............779689

%C ....61.......3721.........180446............8683735............420657877

%C ...232......53824........8683735.........1382766472.........222851712982

%C ...883.....779689......420657877.......222851712982......120305843593958

%C ..3361...11296321....20388622016.....35954795295641....65062863493632615

%C .12793..163660849...988006480837...5798927126392378.35167047469699730422

%C .48694.2371105636.47875604265753.935195769843015103

%H R. H. Hardin, <a href="/A206797/b206797.txt">Table of n, a(n) for n = 1..71</a>

%e Some solutions for n=4 k=3

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 12 2012