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A185862 1/128 the number of (n+2)X7 binary arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace 1

%I #5 Mar 31 2012 12:36:04

%S 3892,73542,1625738,35696805,791291609,17619474017,392747944918,

%T 8751459810146,195057037517168,4347061143534861,96885304893728131,

%U 2159273313254253908,48124248173223345472,1072549184598175832207

%N 1/128 the number of (n+2)X7 binary arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace

%C Column 5 of A185866

%H R. H. Hardin, <a href="/A185862/b185862.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=19*a(n-1)+195*a(n-2)-2615*a(n-3)-5853*a(n-4)+83248*a(n-5)-11174*a(n-6)-545700*a(n-7)+121263*a(n-8)+547276*a(n-9)+862758*a(n-10)-1627813*a(n-11)-1917833*a(n-12)+455414*a(n-13)+8272871*a(n-14)+5835621*a(n-15)-3848078*a(n-16)-1643802*a(n-17)-18285389*a(n-18)+23460427*a(n-19)+5580203*a(n-20)-28665318*a(n-21)+12504271*a(n-22)-1375133*a(n-23)-12596640*a(n-24)+1080741*a(n-25)-47385*a(n-26)-825181*a(n-27)+198061*a(n-28)+39780*a(n-29)-2300*a(n-30)-500*a(n-31) for n>34

%e Some solutions for 4X7

%e ..0..0..0..0..1..1..1....0..0..0..1..1..1..0....0..0..1..1..0..1..0

%e ..0..0..0..1..0..0..1....0..1..0..1..1..1..0....0..0..0..1..0..0..1

%e ..0..1..0..1..1..0..1....0..0..1..0..1..1..0....0..1..0..1..0..0..0

%e ..0..0..1..0..0..1..1....0..1..1..0..0..0..1....0..0..1..0..0..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 05 2011

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Last modified April 18 04:56 EDT 2024. Contains 371767 sequences. (Running on oeis4.)