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A196282 Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4. 2

%I #7 Nov 17 2022 18:03:02

%S 4,8,7,50,111,259,728,1800,4696,12185,32136,83679,217955,570882,

%T 1489582,3896818,10200627,26688308,69841985,182768771,478336792,

%U 1251948660,3276977630,8577766977,22452853682,58772743019,153844929073,402711226676

%N Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 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 3's, every 3 is next to 3 1's, every 4 is next to 4 4's.

%C Column 3 of A196287.

%H R. H. Hardin, <a href="/A196282/b196282.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-3) -5*a(n-4) +6*a(n-5) +2*a(n-6) -14*a(n-7) -63*a(n-8) -7*a(n-9) +88*a(n-10) +28*a(n-11) +122*a(n-12) -20*a(n-13) -48*a(n-14).

%e Some solutions for n=4

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

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

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

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

%Y Cf. A196287.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 30 2011

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Last modified July 14 19:51 EDT 2024. Contains 374323 sequences. (Running on oeis4.)