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A232585 Number of (n+1)X(4+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal 1

%I #6 Nov 23 2014 16:41:06

%S 26,152,996,6406,41328,266490,1718514,11082034,71463916,460844060,

%T 2971811106,19164098964,123582110878,796934839170,5139134890906,

%U 33140359949992,213709793755260,1378134577168966,8887074754111400

%N Number of (n+1)X(4+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal

%C Column 4 of A232589

%H R. H. Hardin, <a href="/A232585/b232585.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +9*a(n-2) +2*a(n-3) +a(n-4) +2*a(n-5).

%F Empirical: G.f.: -2*x*(13+11*x+x^2+3*x^3+2*x^4) / ( (1+x)*(2*x^4-x^3+3*x^2+6*x-1) ). - _R. J. Mathar_, Nov 23 2014

%e Some solutions for n=7

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2013

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Last modified April 25 09:49 EDT 2024. Contains 371967 sequences. (Running on oeis4.)