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A196967 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 4,1,2,0,3 for x=0,1,2,3,4 8

%I

%S 1,2,2,3,6,3,4,15,15,4,6,48,101,48,6,9,145,562,562,145,9,13,449,3145,

%T 5465,3145,449,13,19,1397,17966,58639,58639,17966,1397,19,28,4342,

%U 102080,634241,1210968,634241,102080,4342,28,41,13500,579654,6764386,24281566

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

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

%C Table starts

%C ..1.....2........3..........4.............6................9.................13

%C ..2.....6.......15.........48...........145..............449...............1397

%C ..3....15......101........562..........3145............17966.............102080

%C ..4....48......562.......5465.........58639...........634241............6764386

%C ..6...145.....3145......58639.......1210968.........24281566..........482839574

%C ..9...449....17966.....634241......24281566........906566345........33928210026

%C .13..1397...102080....6764386.....482839574......33928210026......2383058555507

%C .19..4342...579654...72281541....9688062164....1276381991598....167702841476961

%C .28.13500..3294963..773637307..194158517334...47878302949552..11786999591610885

%C .41.41981.18723516.8274218119.3887864391419.1796412252140585.828960396306273892

%H R. H. Hardin, <a href="/A196967/b196967.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=6 k=4

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

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

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

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

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

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

%Y Column 1 is A000930(n+1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Oct 08 2011

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Last modified October 15 20:04 EDT 2019. Contains 328037 sequences. (Running on oeis4.)