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A188759 Number of nX5 binary arrays without the pattern 0 0 1 vertically or horizontally 1
20, 400, 4792, 53024, 532168, 5163989, 48759352, 454436200, 4196906454, 38563523452, 353149127960, 3227401734383, 29455645703492, 268607915360488, 2448108525665546, 22304314950595356, 203163892637966720 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A188763

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 22*a(n-1) -70*a(n-2) -1618*a(n-3) +11120*a(n-4) +47034*a(n-5) -534943*a(n-6) -551606*a(n-7) +14611160*a(n-8) -4049936*a(n-9) -266817312*a(n-10) +259639964*a(n-11) +3519324886*a(n-12) -4881340196*a(n-13) -35064158164*a(n-14) +57583231084*a(n-15) +271485508912*a(n-16) -487721768504*a(n-17) -1664034384882*a(n-18) +3133033950064*a(n-19) +8171464584048*a(n-20) -15720808480096*a(n-21) -32379778576548*a(n-22) +62745993612268*a(n-23) +103895248459539*a(n-24) -201586268638518*a(n-25) -270041179910698*a(n-26) +525373435370358*a(n-27) +567083704042044*a(n-28) -1115803214123978*a(n-29) -956367753428867*a(n-30) +1934485140455318*a(n-31) +1281302981943948*a(n-32) -2734844302826768*a(n-33) -1338142536953580*a(n-34) +3140097542985056*a(n-35) +1051323597729608*a(n-36) -2907013865099900*a(n-37) -573175913588364*a(n-38) +2146307393175232*a(n-39) +161617141575284*a(n-40) -1244574676854520*a(n-41) +39510568416836*a(n-42) +555156722092736*a(n-43) -69421320742292*a(n-44) -185262425270480*a(n-45) +38165505566368*a(n-46) +44548004587224*a(n-47) -12320660907616*a(n-48) -7326913408080*a(n-49) +2488275738000*a(n-50) +763096644864*a(n-51) -304908505920*a(n-52) -44179793280*a(n-53) +20485799424*a(n-54) +1056416256*a(n-55) -574801920*a(n-56)

EXAMPLE

Some solutions for 3X5

..0..1..1..1..0....0..1..1..1..1....1..0..1..1..1....1..1..1..1..1

..1..0..0..0..0....1..1..1..1..0....0..1..1..1..0....1..1..0..1..1

..0..1..1..0..0....1..1..1..0..1....1..1..1..0..0....1..0..0..0..0

CROSSREFS

Sequence in context: A189260 A224174 A206891 * A223866 A207091 A223988

Adjacent sequences:  A188756 A188757 A188758 * A188760 A188761 A188762

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 09 2011

STATUS

approved

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Last modified November 17 08:17 EST 2018. Contains 317275 sequences. (Running on oeis4.)