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A283576 Number of 5Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

%I A283576 #4 Mar 11 2017 08:21:01
%S A283576 0,256,6453,60802,945100,10919674,129527524,1518039552,17162725531,
%T A283576 193879598458,2157351957174,23818259818860,261203745411854,
%U A283576 2845597456824844,30846423421417897,332823725660697214
%N A283576 Number of 5Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
%C A283576 Row 5 of A283572.
%H A283576 R. H. Hardin, <a href="/A283576/b283576.txt">Table of n, a(n) for n = 1..210</a>
%F A283576 Empirical: a(n) = 8*a(n-1) +68*a(n-2) +60*a(n-3) -3476*a(n-4) -14270*a(n-5) -44938*a(n-6) -22046*a(n-7) -330622*a(n-8) +510556*a(n-9) -2390879*a(n-10) +12030076*a(n-11) -33356941*a(n-12) +109298060*a(n-13) -275521313*a(n-14) +720665120*a(n-15) -1806543117*a(n-16) +3736469200*a(n-17) -6762740424*a(n-18) +9106885902*a(n-19) -8972101747*a(n-20) +5725392444*a(n-21) +1465366745*a(n-22) -4653650006*a(n-23) +5324165465*a(n-24) -6499265632*a(n-25) -1325270370*a(n-26) +4246454996*a(n-27) -6037898483*a(n-28) +4489487644*a(n-29) +550019212*a(n-30) +225055032*a(n-31) +2503394292*a(n-32) -1535246836*a(n-33) -69578999*a(n-34) +500958770*a(n-35) -1021093565*a(n-36) -36310362*a(n-37) +1083010*a(n-38) +1959144*a(n-39) +32639*a(n-40) -1740*a(n-41) -900*a(n-42)
%e A283576 Some solutions for n=4
%e A283576 ..0..1..0..0. .1..1..0..1. .1..0..0..1. .0..0..1..1. .1..1..0..1
%e A283576 ..1..0..0..0. .0..1..0..0. .1..0..1..0. .1..0..0..0. .0..1..0..0
%e A283576 ..1..0..0..1. .0..1..0..0. .0..0..1..0. .1..0..1..0. .0..0..0..0
%e A283576 ..0..0..0..1. .0..0..0..1. .1..0..1..1. .1..0..0..0. .1..0..1..1
%e A283576 ..0..1..1..0. .1..1..0..0. .1..0..0..0. .0..1..1..0. .0..0..0..0
%Y A283576 Cf. A283572.
%K A283576 nonn
%O A283576 1,2
%A A283576 _R. H. Hardin_, Mar 11 2017