A278177 - OEIS

%I #4 Nov 13 2016 16:11:28

%S 0,0,0,0,2,0,0,5,5,0,0,13,18,13,0,0,43,126,126,43,0,0,137,737,1476,

%T 737,137,0,0,436,4551,17396,17396,4551,436,0,0,1394,27692,205363,

%U 396024,205363,27692,1394,0,0,4458,169131,2419304,9120939,9120939,2419304

%N T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

%C Table starts

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

%C .0.....2.......5.........13............43..............137.................436

%C .0.....5......18........126...........737.............4551...............27692

%C .0....13.....126.......1476.........17396...........205363.............2419304

%C .0....43.....737......17396........396024..........9120939...........209105063

%C .0...137....4551.....205363.......9120939........408355632.........18218081491

%C .0...436...27692....2419304.....209105063......18218081491.......1580935773900

%C .0..1394..169131...28515138....4797179760.....813097394374.....137264328312479

%C .0..4458.1032173..336046126..110034231906...36285966496008...11916307472109969

%C .0.14258.6300804.3960336818.2523955236624.1619341940295084.1034507705866421424

%H R. H. Hardin, <a href="/A278177/b278177.txt">Table of n, a(n) for n = 1..287</a>

%F Empirical for column k:

%F k=2: a(n) = 3*a(n-1) +a(n-2) -3*a(n-4) -2*a(n-5) -a(n-6) for n>7

%F k=3: [order 16] for n>18

%F k=4: [order 40] for n>41

%e Some solutions for n=4 k=4

%e ..0..1..1..0. .0..0..1..1. .0..1..1..1. .0..0..0..0. .0..1..1..0

%e ..0..1..0..0. .1..1..0..1. .0..1..0..0. .1..1..1..1. .0..0..0..1

%e ..1..0..1..0. .0..0..0..1. .1..1..0..1. .1..0..1..1. .0..1..1..1

%e ..0..0..1..1. .1..1..0..0. .1..0..0..1. .1..0..0..1. .0..0..0..1

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Nov 13 2016