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A305957 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 1

%I

%S 2,98,919,11142,129452,1510278,17617201,205511593,2397335154,

%T 27965475958,326224891762,3805497208288,44392125456386,

%U 517845804034411,6040807323760914,70467605157962627,822023134648354173

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305961.

%H R. H. Hardin, <a href="/A305957/b305957.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +51*a(n-2) +4*a(n-3) -939*a(n-4) -2682*a(n-5) -881*a(n-6) +9642*a(n-7) +15967*a(n-8) +762*a(n-9) -20458*a(n-10) -18411*a(n-11) +2932*a(n-12) -894*a(n-13) -17803*a(n-14) -18006*a(n-15) +6250*a(n-16) +7990*a(n-17) +12099*a(n-18) +7275*a(n-19) +12885*a(n-20) +15510*a(n-21) +15017*a(n-22) +3925*a(n-23) -4095*a(n-24) -2189*a(n-25) -850*a(n-26) +284*a(n-27) +36*a(n-28) for n>29

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305961.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 15 2018

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Last modified February 4 04:43 EST 2023. Contains 360046 sequences. (Running on oeis4.)