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A304130 Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 6 king-move adjacent elements, with upper left element zero. 1

%I #4 May 07 2018 07:57:56

%S 8,31,33,80,176,320,582,1112,2178,4222,8066,15568,30220,58392,112902,

%T 218678,423402,820096,1588910,3078264,5965222,11561350,22406984,

%U 43430950,84187876,163195112,316358564,613292350,1188948430,2304970530,4468634064

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 6 king-move adjacent elements, with upper left element zero.

%C Column 5 of A304133.

%H R. H. Hardin, <a href="/A304130/b304130.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +8*a(n-3) -3*a(n-4) -23*a(n-6) -4*a(n-7) -4*a(n-8) +26*a(n-9) +19*a(n-10) +8*a(n-11) -10*a(n-12) -19*a(n-13) -4*a(n-14) +6*a(n-16) for n>22

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304133.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 07 2018

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)