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A302665 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 1,14,43,194,691,2802,10660,41839,161878,630842,2449576,9528949,

%T 37035686,144004769,559817133,2176500315,8461548011,32896646099,

%U 127893433256,497218644961,1933060065053,7515258095114,29217439753668,113590121120145

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A302670.

%H R. H. Hardin, <a href="/A302665/b302665.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +4*a(n-2) -11*a(n-3) -27*a(n-4) -12*a(n-5) +85*a(n-6) +22*a(n-7) -22*a(n-8) -108*a(n-9) +72*a(n-10) -80*a(n-11) +120*a(n-12) +64*a(n-14)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302670.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 11 2018

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Last modified October 3 04:16 EDT 2022. Contains 357230 sequences. (Running on oeis4.)