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A318072 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Aug 15 2018 13:18:59

%S 16,42,81,149,316,854,2195,5752,15565,41364,110930,299210,802420,

%T 2158664,5810654,15618316,42022876,113058411,304076748,818075794,

%U 2200737667,5919964491,15925927942,42842509441,115250505252,310041060554

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A318075.

%H R. H. Hardin, <a href="/A318072/b318072.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +8*a(n-3) -16*a(n-4) +16*a(n-5) -27*a(n-6) +15*a(n-7) -6*a(n-8) +4*a(n-9) -3*a(n-10) +29*a(n-11) -9*a(n-12) +17*a(n-13) -7*a(n-14) -11*a(n-15) -13*a(n-16) -7*a(n-17) +5*a(n-18) -7*a(n-19) +a(n-20) +11*a(n-21) -2*a(n-22) +2*a(n-23) +4*a(n-24) -4*a(n-25) +5*a(n-26) -5*a(n-27) -a(n-28) +a(n-29) for n>33

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318075.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 15 2018

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Last modified April 18 03:01 EDT 2024. Contains 371767 sequences. (Running on oeis4.)