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A198604 T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors 8

%I #5 Mar 31 2012 12:36:34

%S 1,1,1,2,5,2,5,32,32,5,14,251,674,251,14,41,1985,14396,14396,1985,41,

%T 122,15761,309770,844228,309770,15761,122,365,125168,6671450,49726877,

%U 49726877,6671450,125168,365,1094,994127,143724590,2934981667,8055413256

%N T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors

%C Table starts

%C ....1.......1..........2............5............14............41

%C ....1.......5.........32..........251..........1985.........15761

%C ....2......32........674........14396........309770.......6671450

%C ....5.....251......14396.......844228......49726877....2934981667

%C ...14....1985.....309770.....49726877....8055413256.1308245895665

%C ...41...15761....6671450...2934981667.1308245895665

%C ..122..125168..143724590.173328303620

%C ..365..994127.3096625676

%C .1094.7895777

%C .3281

%H R. H. Hardin, <a href="/A198604/b198604.txt">Table of n, a(n) for n = 1..60</a>

%e All solutions for n=2 k=2

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

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

%e ..2..2..3..3....1..1..0..0....2..2..0..0....1..1..2..2....0..1..1..0

%e ..2..2..3..3....1..1..0..0....2..2..0..0....1..1..2..2....0..0..0..0

%Y Column 1 is A007051(n-2)

%K nonn,tabl

%O 1,4

%A _R. H. Hardin_ Oct 27 2011

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)