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A303317 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 16,9,19,74,139,410,1799,5907,16494,53290,184915,593160,1846238,

%T 5986532,19644799,63120477,201894029,652765881,2113653016,6806905917,

%U 21913260238,70736938785,228339832475,736091706666,2373144545904,7656031069031

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

%C Row 5 of A303314.

%H R. H. Hardin, <a href="/A303317/b303317.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +11*a(n-3) +21*a(n-4) -13*a(n-5) +5*a(n-6) -37*a(n-7) -34*a(n-8) +4*a(n-9) -20*a(n-10) +18*a(n-11) -7*a(n-12) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 21 2018

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Last modified September 26 06:16 EDT 2021. Contains 347664 sequences. (Running on oeis4.)