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A300468 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%I A300468 #4 Mar 06 2018 11:38:10
%S A300468 8,108,925,8608,80914,759100,7121067,66808673,626787854,5880428484,
%T A300468 55169285001,517589818216,4855948719471,45557770236528,
%U A300468 427416051858041,4009952208993844,37620760026099796,352952232638874508
%N A300468 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C A300468 Column 4 of A300472.
%H A300468 R. H. Hardin, <a href="/A300468/b300468.txt">Table of n, a(n) for n = 1..210</a>
%F A300468 Empirical: a(n) = 9*a(n-1) +6*a(n-2) -25*a(n-3) +20*a(n-4) +29*a(n-5) -96*a(n-6) -202*a(n-7) -25*a(n-8) +97*a(n-9) +311*a(n-10) +107*a(n-11) -106*a(n-12) +1300*a(n-13) -663*a(n-14) +910*a(n-15) -317*a(n-16) +343*a(n-17) -96*a(n-18) +57*a(n-19) -29*a(n-20) -4*a(n-22)
%e A300468 Some solutions for n=5
%e A300468 ..0..0..0..1. .0..0..1..0. .0..1..0..1. .0..0..1..0. .0..1..0..1
%e A300468 ..0..1..0..0. .1..0..0..1. .1..1..0..1. .0..1..0..1. .0..1..0..1
%e A300468 ..0..1..1..1. .0..1..1..0. .0..0..1..0. .0..1..0..1. .0..1..0..0
%e A300468 ..0..0..0..1. .0..0..1..0. .1..0..1..1. .0..0..0..1. .1..1..1..0
%e A300468 ..1..0..0..1. .1..0..0..1. .1..1..0..1. .1..1..0..1. .0..0..0..1
%Y A300468 Cf. A300472.
%K A300468 nonn
%O A300468 1,1
%A A300468 _R. H. Hardin_, Mar 06 2018