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A317737 Number of nX4 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Aug 05 2018 15:57:46

%S 0,2,3,4,14,23,35,98,213,448,1053,2285,5170,11442,25631,57472,127875,

%T 286908,640173,1432260,3202305,7156889,16008863,35779725,80013078,

%U 178882627,399942789,894243714,1999266125,4470164997,9994288714

%N Number of nX4 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A317741.

%H R. H. Hardin, <a href="/A317737/b317737.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317741.

%K nonn

%O 1,2

%A _R. H. Hardin_, Aug 05 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)