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 A297546 Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s. 1

%I

%S 1,4,35,93,197,905,4617,17190,60751,249752,1059063,4222592,16594402,

%T 66999457,272610044,1096920548,4397739438,17715067000,71488573309,

%U 287925302744,1158665331861,4666508501343,18801789510992,75728618048706

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

%C Row 3 of A297544.

%H R. H. Hardin, <a href="/A297546/b297546.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +17*a(n-3) +22*a(n-4) -76*a(n-5) -55*a(n-6) -66*a(n-7) -151*a(n-8) +47*a(n-9) +101*a(n-10) -39*a(n-11) +43*a(n-12) +60*a(n-13) -21*a(n-14) +7*a(n-15) +2*a(n-16) +a(n-17)

%e Some solutions for n=5

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

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

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

%Y Cf. A297544.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 31 2017

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Last modified November 30 05:12 EST 2021. Contains 349419 sequences. (Running on oeis4.)