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A196962 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,1,2,0,3 for x=0,1,2,3,4 1

%I #5 Mar 31 2012 12:36:27

%S 3,15,101,562,3145,17966,102080,579654,3294963,18723516,106389322,

%T 604557068,3435367971,19521219395,110928045006,630341323663,

%U 3581872680156,20353754514623,115658863251081,657223831674612

%N Number of nX3 0..4 arrays with each element x equal to the number 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 Column 3 of A196967

%H R. H. Hardin, <a href="/A196962/b196962.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 3*a(n-1) +6*a(n-2) +39*a(n-3) +51*a(n-4) +138*a(n-5) +64*a(n-6) +20*a(n-7) -467*a(n-8) -492*a(n-9) -387*a(n-10) -4*a(n-11) +151*a(n-12) -89*a(n-13) -504*a(n-14) -447*a(n-15) +47*a(n-16) +476*a(n-17) +586*a(n-18) +530*a(n-19) +437*a(n-20) +422*a(n-21) +277*a(n-22) +88*a(n-23) -16*a(n-24) -2*a(n-25) +4*a(n-26) -2*a(n-27)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 08 2011

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Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)