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A297757 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. 1

%I

%S 1,12,52,186,1045,5685,28565,148681,783104,4082179,21289432,111293510,

%T 581390557,3036127779,15859365566,82842802213,432710054944,

%U 2260195540670,11805906967573,61666590418664,322107101630217,1682485627292574

%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s.

%C Column 3 of A297762.

%H R. H. Hardin, <a href="/A297757/b297757.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) +52*a(n-3) +2*a(n-4) +27*a(n-5) -378*a(n-6) -365*a(n-7) -173*a(n-8) +386*a(n-9) +1006*a(n-10) +488*a(n-11) +468*a(n-12) +328*a(n-13) -120*a(n-14) -80*a(n-15)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297762.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 05 2018

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Last modified January 24 13:48 EST 2022. Contains 350538 sequences. (Running on oeis4.)