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A302683 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 11 2018 12:30:44

%S 16,9,11,33,63,187,661,1837,5075,15661,46975,135191,398107,1187251,

%T 3492697,10253381,30301323,89476359,263483993,776726391,2291909243,

%U 6757855265,19921284797,58748244533,173250475905,510831651353

%N Number of 5Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 5 of A302680.

%H R. H. Hardin, <a href="/A302683/b302683.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +10*a(n-3) +13*a(n-4) -7*a(n-6) -6*a(n-7) -11*a(n-8) -6*a(n-9) -4*a(n-10) -2*a(n-11) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302680.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 11 2018

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Last modified April 24 08:48 EDT 2024. Contains 371930 sequences. (Running on oeis4.)