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A207090 Number of 4Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 0 1 vertically.

%I A207090 #7 Jul 22 2025 20:01:02
%S A207090 12,144,1117,10621,98824,894720,8244759,75709453,694032466,6372084456,
%T A207090 58477847273,536617596113,4924871267328,45196366353136,
%U A207090 414774195476647,3806487479872457,34932921065290570,320586783126445036
%N A207090 Number of 4Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 0 1 vertically.
%C A207090 Row 4 of A207088
%H A207090 R. H. Hardin, <a href="/A207090/b207090.txt">Table of n, a(n) for n = 1..210</a>
%F A207090 Empirical: a(n) = a(n-1) +28*a(n-2) +344*a(n-3) +816*a(n-4) +1294*a(n-5) -10338*a(n-6) -19356*a(n-7) -50027*a(n-8) +175117*a(n-9) +123758*a(n-10) +709272*a(n-11) -1835144*a(n-12) +318196*a(n-13) -5529708*a(n-14) +11398328*a(n-15) -5985344*a(n-16) +22648164*a(n-17) -37478232*a(n-18) +19283976*a(n-19) -44313168*a(n-20) +60601968*a(n-21) -20512576*a(n-22) +37990000*a(n-23) -47677312*a(n-24) +5766976*a(n-25) -13423872*a(n-26) +20094976*a(n-27) -238592*a(n-28) +1727488*a(n-29) -4091904*a(n-30) +18432*a(n-31) +331776*a(n-33)
%e A207090 Some solutions for n=4
%e A207090 ..0..0..1..1....1..1..0..0....0..1..0..0....1..1..0..1....1..0..0..1
%e A207090 ..1..1..1..1....0..0..1..1....0..0..1..0....1..1..0..1....0..1..1..0
%e A207090 ..0..1..1..1....1..1..0..0....0..1..0..0....0..1..0..0....1..0..1..1
%e A207090 ..0..1..1..0....1..0..0..1....0..0..1..0....0..1..0..0....1..1..1..1
%K A207090 nonn
%O A207090 1,1
%A A207090 _R. H. Hardin_ Feb 15 2012