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A317031 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 4,14,30,82,280,842,2591,8141,25387,79075,247002,771516,2408705,

%T 7522325,23494122,73374104,229158274,715707738,2235297120,6981287296,

%U 21804026411,68098596051,212686440221,664265316611,2074643216856,6479557040796

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317036.

%H R. H. Hardin, <a href="/A317031/b317031.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +4*a(n-2) +8*a(n-3) -13*a(n-4) -45*a(n-5) -55*a(n-6) +30*a(n-7) +163*a(n-8) +194*a(n-9) +12*a(n-10) -223*a(n-11) -209*a(n-12) -51*a(n-13) +37*a(n-14) +3*a(n-15) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317036.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 19 2018

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Last modified May 13 02:36 EDT 2021. Contains 343836 sequences. (Running on oeis4.)