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A188848 Number of nX6 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally 1

%I

%S 33,1089,14265,185351,2065977,23131221,251417066,2738402462,

%T 29645845119,321142446865,3474419918530,37595472825962,

%U 406698937261904,4399741699254869,47594496607398198,514861267860306967

%N Number of nX6 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally

%C Column 6 of A188851

%H R. H. Hardin, <a href="/A188848/b188848.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 9*a(n-1) +99*a(n-2) -707*a(n-3) -4203*a(n-4) +22165*a(n-5) +105942*a(n-6) -370199*a(n-7) -1799584*a(n-8) +3765397*a(n-9) +21168453*a(n-10) -24205909*a(n-11) -176297779*a(n-12) +93525881*a(n-13) +1067198019*a(n-14) -149413181*a(n-15) -4821078649*a(n-16) -490494925*a(n-17) +16712369275*a(n-18) +3966137410*a(n-19) -45844524838*a(n-20) -13213662476*a(n-21) +102799441964*a(n-22) +27250339183*a(n-23) -194240907465*a(n-24) -34595439879*a(n-25) +316761667077*a(n-26) +14192544418*a(n-27) -452273943570*a(n-28) +49314433804*a(n-29) +567287181257*a(n-30) -145167755646*a(n-31) -620983305673*a(n-32) +233505043748*a(n-33) +585670376841*a(n-34) -270733303775*a(n-35) -468632070694*a(n-36) +242800844739*a(n-37) +312900230062*a(n-38) -173206009080*a(n-39) -171196431111*a(n-40) +99624668654*a(n-41) +75229149578*a(n-42) -46437490099*a(n-43) -25942374035*a(n-44) +17444582263*a(n-45) +6792333900*a(n-46) -5177526557*a(n-47) -1265857033*a(n-48) +1172005576*a(n-49) +141708149*a(n-50) -191873874*a(n-51) -3039521*a(n-52) +20914032*a(n-53) -1463384*a(n-54) -1318240*a(n-55) +172652*a(n-56) +37732*a(n-57) -5792*a(n-58) -464*a(n-59) +64*a(n-60) for n>65

%e Some solutions for 3X6

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 12 2011

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Last modified June 28 08:51 EDT 2022. Contains 354903 sequences. (Running on oeis4.)