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A207994 Number of nX5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any horizontal or vertical neighbor (colorings ignoring permutations of colors). 3

%I #12 Nov 23 2015 05:53:00

%S 8,81,853,9075,96831,1034073,11045757,117997043,1260537911,

%T 13466147569,143857201093,1536809621307,16417559602831,

%U 175386899980873,1873638094198285,20015860487662275,213827138093982759

%N Number of nX5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any horizontal or vertical neighbor (colorings ignoring permutations of colors).

%C Column 5 of A207997.

%H R. H. Hardin, <a href="/A207994/b207994.txt">Table of n, a(n) for n = 1..210</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (16,-65,92,-48,8).

%F a(n) = 16*a(n-1) -65*a(n-2) +92*a(n-3) -48*a(n-4) +8*a(n-5).

%F G.f.: -x*(8-47*x+77*x^2-44*x^3+8*x^4) / ( -1+16*x-65*x^2+92*x^3-48*x^4+8*x^5 ). - _R. J. Mathar_, Nov 23 2015

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 22 2012

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Last modified April 18 08:14 EDT 2024. Contains 371769 sequences. (Running on oeis4.)