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 A297340 Number of 3Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s. 1

%I #4 Dec 28 2017 11:33:03

%S 8,21,96,334,1310,4888,18604,70255,266149,1006942,3811738,14425839,

%T 54601094,206654096,782157108,2960335613,11204414255,42406931107,

%U 160503589065,607480807913,2299219387602,8702183730269,32936397114024

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

%C Row 3 of A297338.

%H R. H. Hardin, <a href="/A297340/b297340.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +7*a(n-2) +2*a(n-3) -8*a(n-4) -12*a(n-5) +4*a(n-7) +5*a(n-8) -2*a(n-9) +2*a(n-10) -a(n-12)

%e Some solutions for n=5

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

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

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

%Y Cf. A297338.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2017

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Last modified September 13 16:28 EDT 2024. Contains 375910 sequences. (Running on oeis4.)