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A303632 Number of nX4 0..1 arrays with every element unequal to 2 or 3 horizontally or vertically adjacent elements, with upper left element zero. 1

%I #4 Apr 27 2018 10:14:27

%S 0,2,1,4,8,22,47,123,302,784,1961,5002,12715,32486,82753,211121,

%T 538371,1373975,3505385,8944576,22822438,58237614,148606194,379208575,

%U 967645940,2469221128,6300909758,16078584921,41029120473,104697723446,267166736204

%N Number of nX4 0..1 arrays with every element unequal to 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

%C Column 4 of A303636.

%H R. H. Hardin, <a href="/A303632/b303632.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +a(n-2) -5*a(n-3) +a(n-4) -4*a(n-5) -9*a(n-6) -a(n-7) +39*a(n-8) -5*a(n-9) -26*a(n-10) +22*a(n-11) -a(n-12) +a(n-13) -8*a(n-14) -a(n-15) +2*a(n-16)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303636.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 27 2018

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)