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A265218 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 three. 7

%I #4 Dec 05 2015 08:44:26

%S 1,1,1,1,0,1,4,16,16,4,12,0,114,0,12,32,1958,17740,17740,1958,32,109,

%T 0,959210,0,959210,0,109,366,654833,30623109,361386063,361386063,

%U 30623109,654833,366,1189,0,1704484254,0,112968132978,0,1704484254,0,1189,9855

%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 three.

%C Table starts

%C ..1....1........1.........4.............12.............32...................109

%C ..1....0.......16.........0...........1958..............0................654833

%C ..1...16......114.....17740.........959210.......30623109............1704484254

%C ..4....0....17740.........0......361386063..............0.........7949178726430

%C .12.1958...959210.361386063...112968132978.64809856589464.....84621589234807688

%C .32....0.30623109.........0.64809856589464..............0.830856356425163354553

%H R. H. Hardin, <a href="/A265218/b265218.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=3 k=4

%e ..0..9..6..9....0..9..8..5....0..3..2..5....0..3..2..1....0..9.10..1

%e ..3..6..9.10....9..8..7..8....3..2..5..2....3..4..3..2....9..8..9.10

%e ..4..7.10.11....8.11.10.11....4..3..2.11....2..1..2.11...10..7..8.11

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_, Dec 05 2015

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Last modified August 11 01:05 EDT 2024. Contains 375059 sequences. (Running on oeis4.)