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A302000 Number of 3Xn 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 30 2018 12:30:42

%S 0,5,5,26,84,309,1108,3979,14314,51440,185083,665473,2393298,8606453,

%T 30950505,111303112,400265922,1439423515,5176415456,18615274437,

%U 66943726862,240741120250,865746384343,3113372499381,11196221683404

%N Number of 3Xn 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A301999.

%H R. H. Hardin, <a href="/A302000/b302000.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) -2*a(n-4) +2*a(n-5) -9*a(n-6) -50*a(n-7) -37*a(n-8) +34*a(n-9) +43*a(n-10) -16*a(n-11) +15*a(n-12) +18*a(n-13) -7*a(n-14) -2*a(n-16) +4*a(n-17) -6*a(n-18) +a(n-20)

%e Some solutions for n=5

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

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

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

%Y Cf. A301999.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 30 2018

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)