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A202315
Number of (n+2)X8 binary arrays avoiding patterns 001 and 100 in rows and columns
1
54250, 1235783, 32097834, 869323542, 23966292639, 664688048868, 18484607981704, 514540668174263, 14329370884754954, 399124012126897012, 11117935807977349491, 309709187634183606862, 8627612991815294081922
OFFSET
1,1
COMMENTS
Column 6 of A202317
LINKS
FORMULA
Empirical: a(n) = 59*a(n-1) -924*a(n-2) -6026*a(n-3) +282252*a(n-4) -1432041*a(n-5) -24373466*a(n-6) +262687352*a(n-7) +640334347*a(n-8) -18036584164*a(n-9) +24686349020*a(n-10) +680471050054*a(n-11) -2467239295881*a(n-12) -15377947410860*a(n-13) +92662822842583*a(n-14) +194388885656516*a(n-15) -2131407685174599*a(n-16) -467753734267144*a(n-17) +33531396792756469*a(n-18) -32611919201386054*a(n-19) -375301729656782418*a(n-20) +734799190598899112*a(n-21) +2997741400908665093*a(n-22) -9147997238275474436*a(n-23) -16316214343525756227*a(n-24) +78832882478117034696*a(n-25) +48105584574234214594*a(n-26) -502045713683652310136*a(n-27) +76795854230662999090*a(n-28) +2421719149610601754694*a(n-29) -1820672376506166048961*a(n-30) -8878196619447561376540*a(n-31) +11784666072006315305776*a(n-32) +24247441564732995970371*a(n-33) -49599209440993705700652*a(n-34) -45817451649553969651616*a(n-35) +153635730778133962607033*a(n-36) +42206994301760839373011*a(n-37) -364338793688947322362461*a(n-38) +66169657270028097597952*a(n-39) +668732484790945487365916*a(n-40) -378322964192357373850226*a(n-41) -941963822970656930583533*a(n-42) +908733901013649360388428*a(n-43) +980929726940257548495599*a(n-44) -1488239739258842681176842*a(n-45) -667237779384636511157802*a(n-46) +1821371462534614719532840*a(n-47) +117369638719122095952095*a(n-48) -1712834479292061280742605*a(n-49) +377307828770252909923261*a(n-50) +1241455377109711904831856*a(n-51) -590390841376794261363734*a(n-52) -681508766968278135569323*a(n-53) +521344759491714620895584*a(n-54) +268123211598481123406576*a(n-55) -327591027187047626376443*a(n-56) -61863869296452399233444*a(n-57) +155533079749226457745780*a(n-58) -3210042153136878014848*a(n-59) -56949908932121720139848*a(n-60) +10222361379310698672882*a(n-61) +16148724873352323873347*a(n-62) -5174216275763024146780*a(n-63) -3519953768544422931941*a(n-64) +1654858930794192749194*a(n-65) +576670798752607495874*a(n-66) -385573927541444905790*a(n-67) -67146118218938550091*a(n-68) +68480296240386083402*a(n-69) +4627739384495964717*a(n-70) -9445137808945595160*a(n-71) +20317201158809823*a(n-72) +1019333562700201986*a(n-73) -49036995386058997*a(n-74) -86191242464007898*a(n-75) +6568805109569104*a(n-76) +5688388710060798*a(n-77) -506749760158095*a(n-78) -290029219018100*a(n-79) +25534310074814*a(n-80) +11189815771309*a(n-81) -835493990060*a(n-82) -314165140034*a(n-83) +16378196942*a(n-84) +5976966479*a(n-85) -154106875*a(n-86) -67750220*a(n-87) +190872*a(n-88) +361296*a(n-89) +3024*a(n-90) -576*a(n-91)
EXAMPLE
Some solutions for n=1
..0..1..0..1..1..1..1..1....0..1..1..0..1..0..1..0....1..0..1..0..1..1..0..1
..0..1..1..0..1..0..1..1....1..1..0..1..1..0..1..1....1..1..1..1..0..1..1..1
..0..1..1..1..0..1..1..1....1..0..1..0..1..0..1..0....1..1..0..1..1..0..1..1
CROSSREFS
Sequence in context: A254263 A254256 A254302 * A270763 A251479 A203624
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 16 2011
STATUS
approved