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 A196809 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,2,3,0,1 for x=0,1,2,3,4 7

%I

%S 1,1,1,1,1,1,1,3,3,1,1,7,16,7,1,1,17,37,37,17,1,1,41,120,193,120,41,1,

%T 1,99,420,1515,1515,420,99,1,1,239,1468,8719,19449,8719,1468,239,1,1,

%U 577,4801,52291,166682,166682,52291,4801,577,1,1,1393,15885,334317,1730105

%N T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,2,3,0,1 for x=0,1,2,3,4

%C Every 0 is next to 0 4's, every 1 is next to 1 2's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 1's

%C Table starts

%C .1....1.....1........1..........1............1..............1................1

%C .1....1.....3........7.........17...........41.............99..............239

%C .1....3....16.......37........120..........420...........1468.............4801

%C .1....7....37......193.......1515.........8719..........52291...........334317

%C .1...17...120.....1515......19449.......166682........1730105.........18344433

%C .1...41...420.....8719.....166682......2535368.......46685074........822353649

%C .1...99..1468....52291....1730105.....46685074.....1436535356......42144649101

%C .1..239..4801...334317...18344433....822353649....42144649101....2099296647197

%C .1..577.15885..2067173..186996068..14219232895..1242942835600..105892691714203

%C .1.1393.53128.12663609.1929020093.247793610490.36966191677933.5317907954180181

%H R. H. Hardin, <a href="/A196809/b196809.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for n=6 k=4

%e ..0..0..0..0....0..0..0..0....0..3..0..0....0..0..3..0....0..3..0..0

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

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

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

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

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

%Y Column 2 is A001333(n-1)

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_ Oct 06 2011

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Last modified March 22 08:59 EDT 2023. Contains 361419 sequences. (Running on oeis4.)