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A188847 Number of nX5 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally.

%I A188847 #7 Jul 22 2025 11:24:56
%S A188847 20,400,3642,33037,262588,2092409,16242526,126202999,975352031,
%T A188847 7539816897,58220783206,449593483988,3471050891991,26798301085382,
%U A188847 206886553054929,1597196554368034,12330479552016174,95192293994764379
%N A188847 Number of nX5 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally.
%C A188847 Column 5 of A188851
%H A188847 R. H. Hardin, <a href="/A188847/b188847.txt">Table of n, a(n) for n = 1..200</a>
%F A188847 Empirical: a(n) = 8*a(n-1) +35*a(n-2) -297*a(n-3) -469*a(n-4) +4308*a(n-5) +3697*a(n-6) -33283*a(n-7) -24463*a(n-8) +165485*a(n-9) +121961*a(n-10) -570583*a(n-11) -407968*a(n-12) +1387970*a(n-13) +918436*a(n-14) -2409610*a(n-15) -1400794*a(n-16) +3010734*a(n-17) +1406668*a(n-18) -2700212*a(n-19) -825056*a(n-20) +1696790*a(n-21) +109102*a(n-22) -684520*a(n-23) +257361*a(n-24) +104846*a(n-25) -244287*a(n-26) +68319*a(n-27) +107875*a(n-28) -55318*a(n-29) -23889*a(n-30) +18015*a(n-31) +1551*a(n-32) -2823*a(n-33) +277*a(n-34) +171*a(n-35) -36*a(n-36) for n>38
%e A188847 Some solutions for 3X5
%e A188847 ..0..1..1..0..0....1..1..1..1..0....0..1..0..0..0....1..1..0..0..0
%e A188847 ..1..0..1..1..0....1..0..1..1..0....0..1..1..1..0....1..1..1..1..0
%e A188847 ..1..1..0..1..0....1..1..0..0..0....0..1..1..1..0....1..0..1..1..0
%K A188847 nonn
%O A188847 1,1
%A A188847 _R. H. Hardin_ Apr 12 2011