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A297798 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

%I A297798 #4 Jan 06 2018 09:29:21
%S A297798 1,24,100,422,2936,17899,104985,645568,3978117,24326196,149160149,
%T A297798 916286494,5624456404,34523088073,211969293298,1301435980104,
%U A297798 7990173493126,49057461019439,301200758005780,1849287533799779
%N A297798 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.
%C A297798 Column 4 of A297802.
%H A297798 R. H. Hardin, <a href="/A297798/b297798.txt">Table of n, a(n) for n = 1..210</a>
%F A297798 Empirical: a(n) = 4*a(n-1) +8*a(n-2) +78*a(n-3) -160*a(n-4) -479*a(n-5) -2307*a(n-6) +1247*a(n-7) +8040*a(n-8) +26223*a(n-9) +7293*a(n-10) -45535*a(n-11) -126351*a(n-12) -93834*a(n-13) +77482*a(n-14) +231611*a(n-15) +268460*a(n-16) +15257*a(n-17) -117778*a(n-18) -296161*a(n-19) -144406*a(n-20) +17812*a(n-21) +175680*a(n-22) +215312*a(n-23) +98502*a(n-24) -77039*a(n-25) -44779*a(n-26) -73938*a(n-27) +43490*a(n-28) +8246*a(n-29) +12107*a(n-30) -1278*a(n-31) -5045*a(n-32) +257*a(n-33) -259*a(n-34) +109*a(n-35) +43*a(n-36) -6*a(n-37)
%e A297798 Some solutions for n=7
%e A297798 ..0..0..0..0. .0..1..1..0. .0..1..0..0. .0..1..0..0. .0..0..1..0
%e A297798 ..1..1..0..0. .0..1..1..1. .1..0..1..1. .1..0..1..0. .1..1..1..1
%e A297798 ..1..1..1..0. .1..1..0..1. .0..1..1..0. .0..1..0..0. .0..1..0..0
%e A297798 ..0..1..0..0. .0..1..1..0. .0..1..0..0. .0..1..1..1. .0..0..1..1
%e A297798 ..0..0..1..0. .0..0..0..0. .1..0..1..0. .0..1..1..1. .0..0..1..1
%e A297798 ..0..1..1..0. .0..1..1..1. .0..1..1..0. .0..1..1..0. .0..0..1..1
%e A297798 ..0..1..1..0. .1..1..1..0. .1..1..1..1. .0..0..0..0. .0..1..1..0
%Y A297798 Cf. A297802.
%K A297798 nonn
%O A297798 1,2
%A A297798 _R. H. Hardin_, Jan 06 2018