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A278157 T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. 8

%I #4 Nov 13 2016 06:38:22

%S 0,0,0,0,2,0,0,7,7,0,0,22,42,22,0,0,75,268,268,75,0,0,254,1759,3382,

%T 1759,254,0,0,859,11675,43876,43876,11675,859,0,0,2906,77102,571214,

%U 1118946,571214,77102,2906,0,0,9831,509336,7404889,28772962,28772962,7404889

%N T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-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.......7.........22...........75.............254...............859

%C .0....7......42........268.........1759...........11675.............77102

%C .0...22.....268.......3382........43876..........571214...........7404889

%C .0...75....1759......43876......1118946........28772962.........736017223

%C .0..254...11675.....571214.....28772962......1459438050.......73654449669

%C .0..859...77102....7404889....736017223.....73654449669.....7332741364328

%C .0.2906..509336...96014730..18830978857...3717851037151...730168696119876

%C .0.9831.3365082.1245182813.481877272697.187699707259842.72720692813101842

%H R. H. Hardin, <a href="/A278157/b278157.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) +a(n-3) for n>4

%F k=3: [order 14] for n>15

%F k=4: [order 31]

%F k=5: [order 89] for n>91

%e Some solutions for n=4 k=4

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

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Nov 13 2016

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)