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 A265178 T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and vertical neighbors by a power of two. 6

%I #4 Dec 03 2015 12:20:06

%S 1,1,1,1,4,1,2,21,21,2,16,139,2024,139,16,79,8463,170970,170970,8463,

%T 79,456,219995,7796840,36765048,7796840,219995,456,2194,6639203,

%U 1346956387,19256175024,19256175024,1346956387,6639203,2194,20801,149441692

%N T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and vertical neighbors by a power of two.

%C Table starts

%C ......1..........1..............1................2................16

%C ......1..........4.............21..............139..............8463

%C ......1.........21...........2024...........170970...........7796840

%C ......2........139.........170970.........36765048.......19256175024

%C .....16.......8463........7796840......19256175024....62221755947285

%C .....79.....219995.....1346956387....7187180809683.29140746691543180

%C ....456....6639203...226158945148.2362949716450873

%C ...2194..149441692.16064538255326

%C ..20801.6260685646

%C .142675

%H R. H. Hardin, <a href="/A265178/b265178.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=4

%e ..0..2..6..8....0..8.10.11....0..8..0..2....0..8..9.11....0..2..0..2

%e ..8..0..2.10....4..6..8.10....4..6..2.10....2..6..8.10....4..6..2.10

%e ..6..8.10.11....0..8.10.11....8..4..3.11....6..7..9.11....6..5..3.11

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Dec 03 2015

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Last modified July 14 16:58 EDT 2024. Contains 374322 sequences. (Running on oeis4.)