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 A185863 1/128 the number of (n+2)X8 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 21814,563180,17735956,552341314,17619474017,573531587857,

%T 18748403999482,613050365962624,20046370784666417,655581311163957724,

%U 21439130333201856915,701132199201066009576,22929196846043969263194

%N 1/128 the number of (n+2)X8 binary arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace

%C Column 6 of A185866

%H R. H. Hardin, <a href="/A185863/b185863.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=28*a(n-1)+458*a(n-2)-9367*a(n-3)-46684*a(n-4)+898744*a(n-5)+1094586*a(n-6)-28989044*a(n-7)+986530*a(n-8)+296626790*a(n-9)+151768223*a(n-10)-1683452425*a(n-11)-3015247292*a(n-12)+9375296717*a(n-13)+24669646464*a(n-14)-5098057135*a(n-15)-75488760254*a(n-16)-146369613890*a(n-17)-119314974630*a(n-18)-72435562801*a(n-19)+674444065039*a(n-20)+1635855570502*a(n-21)+5043609802988*a(n-22)+5279930419382*a(n-23)-14311033903063*a(n-24)-16484687045379*a(n-25)-5169273058096*a(n-26)-14764209322754*a(n-27)+4816762089867*a(n-28)+12280245588979*a(n-29)+7855814591653*a(n-30)+6101291124520*a(n-31)-122562824842*a(n-32)+461163866661*a(n-33)-6982202654096*a(n-34)+2305045517546*a(n-35)-2065710735360*a(n-36)+342184240116*a(n-37)-430214469480*a(n-38)+184174632472*a(n-39)+172849230696*a(n-40)+86656773184*a(n-41)+86600922656*a(n-42)+14755191552*a(n-43)-4131944832*a(n-44)-3931817984*a(n-45)-211488768*a(n-46)+26836992*a(n-47)+589824*a(n-48) for n>52

%e Some solutions for 4X8

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 05 2011

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Last modified October 3 13:14 EDT 2023. Contains 365862 sequences. (Running on oeis4.)