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A282644 Number of nX5 0..1 arrays with no 1 equal to more than one of its king-move neighbors. 1

%I #4 Feb 20 2017 07:30:15

%S 24,201,1601,15460,133118,1190848,10614316,94161619,838433062,

%T 7454215075,66292530149,589611150641,5243462854609,46633173607625,

%U 414729611119231,3688374141775373,32802445652275246,291727015058062232

%N Number of nX5 0..1 arrays with no 1 equal to more than one of its king-move neighbors.

%C Column 5 of A282647.

%H R. H. Hardin, <a href="/A282644/b282644.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +31*a(n-2) +127*a(n-3) -103*a(n-4) -166*a(n-5) -1614*a(n-6) +2383*a(n-7) -4797*a(n-8) +13056*a(n-9) -10639*a(n-10) +8408*a(n-11) -11834*a(n-12) +3060*a(n-13) -2498*a(n-14) +4177*a(n-15) +266*a(n-16) +332*a(n-17) -384*a(n-18) +45*a(n-19) +21*a(n-20) +30*a(n-21)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282647.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 20 2017

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Last modified July 9 17:39 EDT 2024. Contains 374188 sequences. (Running on oeis4.)