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A283126 Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors. 1

%I #4 Mar 01 2017 09:50:26

%S 16,209,2521,30824,376359,4598361,56176300,686250407,8383419717,

%T 102414019954,1251114819113,15283928745831,186712266641032,

%U 2280923364802115,27864325608995985,340397513549872208

%N Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors.

%C Column 4 of A283130.

%H R. H. Hardin, <a href="/A283126/b283126.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +26*a(n-2) +147*a(n-3) +173*a(n-4) +239*a(n-5) -710*a(n-6) -328*a(n-7) +319*a(n-8) -316*a(n-9) -271*a(n-10) +194*a(n-11) +8*a(n-12) -167*a(n-13) +28*a(n-14) +70*a(n-15) -2*a(n-16) -8*a(n-17)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283130.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2017

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Last modified May 13 16:16 EDT 2024. Contains 372522 sequences. (Running on oeis4.)