A282338 - OEIS

%I #4 Feb 12 2017 07:04:15

%S 0,0,0,0,0,0,0,0,0,0,0,0,68,0,0,0,0,648,648,0,0,0,0,5794,10680,5794,0,

%T 0,0,0,50800,182876,182876,50800,0,0,0,0,425030,3025368,5850650,

%U 3025368,425030,0,0,0,0,3471260,47432264,182122160,182122160,47432264,3471260,0

%N T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than four of its king-move neighbors, with the exception of exactly one element.

%C Table starts

%C .0.0........0...........0.............0................0..................0

%C .0.0........0...........0.............0................0..................0

%C .0.0.......68.........648..........5794............50800.............425030

%C .0.0......648.......10680........182876..........3025368...........47432264

%C .0.0.....5794......182876.......5850650........182122160.........5361683933

%C .0.0....50800.....3025368.....182122160......10612378412.......584739260830

%C .0.0...425030....47432264....5361683933.....584739260830.....60339274001772

%C .0.0..3471260...729388572..154725005658...31572290506580...6102190337530204

%C .0.0.27860736.11019803902.4387999601749.1674538977289754.606112878947605223

%H R. H. Hardin, <a href="/A282338/b282338.txt">Table of n, a(n) for n = 1..180</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1)

%F k=2: a(n) = a(n-1)

%F k=3: [order 20]

%F k=4: [order 36]

%e Some solutions for n=4 k=4

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

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

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

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

%K nonn,tabl

%O 1,13

%A _R. H. Hardin_, Feb 12 2017