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A300316 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 3,4,16,61,186,977,3875,15976,69695,291860,1231606,5238686,22132400,

%T 93661059,396772953,1679005708,7107319506,30089549251,127365200852,

%U 539154160924,2282345606777,9661359675255,40897805890885,173126011417215

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A300321.

%H R. H. Hardin, <a href="/A300316/b300316.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +5*a(n-2) +14*a(n-3) -45*a(n-4) -51*a(n-5) -3*a(n-6) +122*a(n-7) +106*a(n-8) -48*a(n-9) -52*a(n-10) -18*a(n-11) +24*a(n-12) -75*a(n-13) -4*a(n-14) +30*a(n-15) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300321.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 02 2018

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Last modified October 27 20:18 EDT 2021. Contains 348290 sequences. (Running on oeis4.)