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A207697 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically 1

%I

%S 18,324,612,1156,4216,15376,50096,163216,578528,2050624,6804864,

%T 22581504,79225344,277955584,930264256,3113416804,10855054516,

%U 37846589764,127345247780,428488068100,1487399982580,5163174596644,17438992794736

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically

%C Row 6 of A207693

%H R. H. Hardin, <a href="/A207697/b207697.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -a(n-1) +2*a(n-3) +274*a(n-4) +306*a(n-5) +36*a(n-6) -130*a(n-7) -28677*a(n-8) -33225*a(n-9) -3770*a(n-10) -4770*a(n-11) +1565576*a(n-12) +1823620*a(n-13) +168342*a(n-14) +698638*a(n-15) -50801253*a(n-16) -58453661*a(n-17) -3817086*a(n-18) -27437652*a(n-19) +1050877536*a(n-20) +1181661460*a(n-21) +40554426*a(n-22) +556485344*a(n-23) -14446173949*a(n-24) -15778482257*a(n-25) -11058516*a(n-26) -6679705744*a(n-27) +135464117182*a(n-28) +143388289958*a(n-29) -4806361744*a(n-30) +50210461952*a(n-31) -881437731704*a(n-32) -904491087128*a(n-33) +59320040832*a(n-34) -242626909504*a(n-35) +4024397865584*a(n-36) +4010127347184*a(n-37) -368855933280*a(n-38) +759626110464*a(n-39) -12977404706256*a(n-40) -12582990069520*a(n-41) +1376126461120*a(n-42) -1526930294016*a(n-43) +29626195741536*a(n-44) +28008873464288*a(n-45) -3240052086272*a(n-46) +1901134082560*a(n-47) -47778586018560*a(n-48) -44130895476480*a(n-49) +4885720777728*a(n-50) -1315665135616*a(n-51) +54019531689472*a(n-52) +48853241124352*a(n-53) -4694023176192*a(n-54) +280203395072*a(n-55) -42192077418496*a(n-56) -37459909849088*a(n-57) +2805212594176*a(n-58) +268391219200*a(n-59) +22216208130048*a(n-60) +19431512023040*a(n-61) -990095212544*a(n-62) -238917648384*a(n-63) -7587017195520*a(n-64) -6567373766656*a(n-65) +183441817600*a(n-66) +84232634368*a(n-67) +1579468062720*a(n-68) +1361514725376*a(n-69) -11259609088*a(n-70) -14780727296*a(n-71) -180111802368*a(n-72) -156195880960*a(n-73) -1056964608*a(n-74) +1107296256*a(n-75) +9135194112*a(n-76) +8162115584*a(n-77) +134217728*a(n-78) -134217728*a(n-80) -134217728*a(n-81) for n>84

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified October 20 07:04 EDT 2021. Contains 348099 sequences. (Running on oeis4.)