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A196314 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 2,0,4,1,3 for x=0,1,2,3,4 6

%I #5 Mar 31 2012 12:36:25

%S 1,3,3,4,5,4,5,8,8,5,8,17,7,17,8,12,34,50,50,34,12,17,62,111,335,111,

%T 62,17,25,123,259,866,866,259,123,25,37,243,728,2942,3349,2942,728,

%U 243,37,54,471,1800,13277,21545,21545,13277,1800,471,54,79,924,4696,56237

%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 2,0,4,1,3 for x=0,1,2,3,4

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

%C Table starts

%C ..1...3.....4......5........8........12..........17...........25.............37

%C ..3...5.....8.....17.......34........62.........123..........243............471

%C ..4...8.....7.....50......111.......259.........728.........1800...........4696

%C ..5..17....50....335......866......2942.......13277........56237.........228881

%C ..8..34...111....866.....3349.....21545......132202.......626170........3119098

%C .12..62...259...2942....21545....184217.....1194982......9309294.......76576666

%C .17.123...728..13277...132202...1194982....11575179....157085533.....1846682222

%C .25.243..1800..56237...626170...9309294...157085533...2915102103....39702002789

%C .37.471..4696.228881..3119098..76576666..1846682222..39702002789...766706823953

%C .54.924.12185.862148.18588893.617482227.18830197948.572455060274.18768948409278

%H R. H. Hardin, <a href="/A196314/b196314.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for n=6 k=4

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

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

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

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

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

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

%Y Column 1 is A179070(n+2)

%Y Column 2 is A196140

%Y Column 3 is A196282

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Oct 01 2011

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Last modified June 22 14:17 EDT 2024. Contains 373587 sequences. (Running on oeis4.)