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A316285 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 8,49,125,354,1372,3933,12454,42946,135396,437859,1454625,4718224,

%T 15398305,50682956,165816368,543317768,1785073445,5856614373,

%U 19223124004,63151760399,207409161018,681297182756,2238603218152,7355417198037

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A316289.

%H R. H. Hardin, <a href="/A316285/b316285.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -15*a(n-2) +22*a(n-3) -91*a(n-4) +194*a(n-5) -128*a(n-6) +198*a(n-7) -559*a(n-8) +288*a(n-9) +210*a(n-10) +102*a(n-11) -58*a(n-12) -534*a(n-13) +420*a(n-14) -139*a(n-15) +238*a(n-16) -200*a(n-17) +56*a(n-18) -24*a(n-19) +18*a(n-20) -4*a(n-21) for n>25

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316289.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 28 2018

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Last modified February 9 02:59 EST 2023. Contains 360153 sequences. (Running on oeis4.)