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A301610 Number of nX3 0..1 arrays with every element equal to 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero. 1

%I

%S 1,11,62,367,2131,12467,72758,425003,2481842,14494425,84647239,

%T 494344466,2886987133,16860117364,98463698698,575031667957,

%U 3358206190785,19612048586036,114535089777733,668889165654501,3906337494564368

%N Number of nX3 0..1 arrays with every element equal to 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

%C Column 3 of A301615.

%H R. H. Hardin, <a href="/A301610/b301610.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +12*a(n-2) -5*a(n-3) -14*a(n-4) +14*a(n-6) +4*a(n-7) -3*a(n-8) -5*a(n-9) +a(n-10)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301615.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 24 2018

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Last modified July 23 20:55 EDT 2019. Contains 325264 sequences. (Running on oeis4.)