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A299684 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I

%S 3,4,15,54,156,854,3226,13013,56318,229915,948257,3968556,16399773,

%T 67970006,282408197,1170437914,4854200458,20140780494,83525093575,

%U 346439146067,1437039382529,5960289119226,24721884651959,102541799887631

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299689.

%H R. H. Hardin, <a href="/A299684/b299684.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +7*a(n-2) +20*a(n-3) -29*a(n-4) -87*a(n-5) -34*a(n-6) +86*a(n-7) +190*a(n-8) -8*a(n-9) -55*a(n-10) -38*a(n-11) +69*a(n-12) -71*a(n-13) -34*a(n-14) +30*a(n-15) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299689.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 16 2018

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Last modified October 21 09:09 EDT 2020. Contains 337911 sequences. (Running on oeis4.)