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A301967 Number of 5Xn 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 29 2018 13:04:14

%S 16,89,100,169,311,749,1803,4257,10353,25491,62623,154129,380187,

%T 938001,2314659,5713631,14105377,34823513,85976895,212277137,

%U 524117847,1294070913,3195138873,7889010751,19478522291,48093894353,118747410843

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

%C Row 5 of A301964.

%H R. H. Hardin, <a href="/A301967/b301967.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +5*a(n-3) -8*a(n-4) +2*a(n-5) -9*a(n-6) +7*a(n-7) -a(n-8) +8*a(n-9) +a(n-10) -4*a(n-11) -3*a(n-13) +2*a(n-14) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301964.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 29 2018

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Last modified October 1 16:49 EDT 2023. Contains 365826 sequences. (Running on oeis4.)