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A189063 Number of nX8 binary arrays without the pattern 0 1 0 antidiagonally or horizontally 1
114, 12996, 818962, 48152625, 3035094004, 193897027545, 12333648780753, 784513337393283, 49892044101743764, 3172494715431581842, 201730419928227850408, 12827246658901296355915, 815633927455532557296101 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 8 of A189064
LINKS
FORMULA
Empirical: a(n) = 114*a(n-1) -3497*a(n-2) -2452*a(n-3) +1560416*a(n-4) -8039642*a(n-5) -539387484*a(n-6) +9000344115*a(n-7) -17224045720*a(n-8) -607579979813*a(n-9) +2419081199647*a(n-10) +45518514676983*a(n-11) -396458997921185*a(n-12) -250049021056270*a(n-13) +13547120597094826*a(n-14) -22455849753318015*a(n-15) -310029846143956733*a(n-16) +1171931161262730851*a(n-17) +3459314746639960461*a(n-18) -23808666694124785081*a(n-19) -17012475826073920772*a(n-20) +330444405248735605861*a(n-21) -254142306992730494611*a(n-22) -2850488875199551765953*a(n-23) +5056384375469897145139*a(n-24) +17149458954580126860508*a(n-25) -50863279261379563551784*a(n-26) -54392350684872690123620*a(n-27) +291020309900918572103944*a(n-28) +73167926541893348887288*a(n-29) -1210703385102349647168160*a(n-30) +395480478086505387905472*a(n-31) +3343647004909943262448272*a(n-32) -2103984902051299667113552*a(n-33) -6874610307464037175470352*a(n-34) +5510237439717876253158784*a(n-35) +10841926764746149410551168*a(n-36) -9537830635437839059513856*a(n-37) -13432623971577791602755328*a(n-38) +12155543666334011690485248*a(n-39) +12619098826813711020390400*a(n-40) -11602226637002519657436160*a(n-41) -8487192591211837424132096*a(n-42) +8339025250250246905040896*a(n-43) +3330776125687421755568128*a(n-44) -4117445082833297179525120*a(n-45) -207512143107651284566016*a(n-46) +1182004377093820726640640*a(n-47) -604649414000777328066560*a(n-48) +97567708997401810305024*a(n-49) +233610049599200871579648*a(n-50) -171876972295136886128640*a(n-51) -5589140187469370621952*a(n-52) +41443406532865041629184*a(n-53) -13180730525026491564032*a(n-54) +378684214047546540032*a(n-55) +388877359986180620288*a(n-56) -24209817090828271616*a(n-57) -8461280736433930240*a(n-58) +894567058405064704*a(n-59) for n>61
EXAMPLE
Some solutions for 3X8
..0..0..0..1..1..1..1..0....0..0..0..1..1..0..0..0....0..0..0..1..1..1..0..0
..1..0..0..1..1..0..1..1....0..0..0..1..1..0..0..0....1..1..1..1..1..0..0..1
..1..0..0..0..1..1..1..1....1..0..0..1..1..0..0..1....1..0..0..1..1..1..0..0
CROSSREFS
Sequence in context: A188507 A189616 A188773 * A178409 A239654 A362797
KEYWORD
nonn
AUTHOR
R. H. Hardin Apr 16 2011
STATUS
approved

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Last modified July 18 16:16 EDT 2024. Contains 374388 sequences. (Running on oeis4.)