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A302159 Number of nX4 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 02 2018 14:46:39

%S 5,17,12,29,73,156,361,865,1970,4530,10571,24394,56204,130230,301221,

%T 695541,1608549,3720177,8597848,19876759,45959426,106246321,245619039,

%U 567865144,1312830532,3035049693,7016724012,16221856134,37502724170

%N Number of nX4 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302163.

%H R. H. Hardin, <a href="/A302159/b302159.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +6*a(n-3) -4*a(n-5) -7*a(n-6) -a(n-7) +3*a(n-8) +2*a(n-9) -a(n-10) -4*a(n-11) -3*a(n-12) +a(n-13) +2*a(n-14) +2*a(n-15) for n>19

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302163.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 02 2018

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Last modified August 19 02:04 EDT 2024. Contains 375284 sequences. (Running on oeis4.)